Calculus 2 - Geometric Series, P-Series, Ratio Test, Root Test, Alternating Series, Integral Test
This calculus 2 video provides a basic review into the convergence and divergence of a series. It contains plenty of examples and practice problems.
Integral Test For Divergence: • Calculus 2 - Integral ...
Remainder Estimate - Integral Test:
• Remainder Estimate For...
P-Series:
• P-series
Direct Comparison Test:
• Direct Comparison Test...
Limit Comparison Test:
• Limit Comparison Test
_________________________________
Alternating Series Test:
• Alternating Series Test
Alternate Series Estimation Theorem:
• Alternate Series Estim...
Absolute & Conditional Convergence:
• Absolute Convergence, ...
The Ratio Test:
• Ratio Test
The Root Test:
• Root Test
__________________________________
Series Tests - Practice Problems:
• Calculus 2 - Geometric...
Taylor & Maclaurin Polynomials:
• Taylor Polynomials & M...
Taylor's Remainder Theorem:
• Taylor's Remainder The...
Power Series - Interval Convergence:
• Power Series - Finding...
Power Series - Derivatives & Integrals:
• Power Series - Differe...
___________________________________
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Пікірлер: 806
Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: kzread.info/dash/bejne/p6aEq9qvfqW-dpM.html
@CalculusPerson
7 күн бұрын
Thanks for this!
HOW DOES THIS MAN KNOW EVERY SINGLE PIECE OF INFORMATION ON THE PLANET?! You are a lifesaver I swear to god if I was not broke, I would donate at least 10 grand coz your lectures are better than every other class I was ever in. You should run for president
@kennyrudin10
3 жыл бұрын
@@ahmedmohamedaligalal9165 Ahh yes, allah
@ghassenbeddouihech2657
3 жыл бұрын
@@ahmedmohamedaligalal9165 u right tho xDDDD
@ledgermalakai6549
2 жыл бұрын
i dont mean to be so offtopic but does anybody know a trick to log back into an instagram account..? I was stupid forgot my password. I love any tips you can give me!
@ledgermalakai6549
2 жыл бұрын
@Aarav Raylan i really appreciate your reply. I got to the site on google and I'm in the hacking process atm. I see it takes a while so I will reply here later when my account password hopefully is recovered.
@ledgermalakai6549
2 жыл бұрын
@Aarav Raylan it worked and I actually got access to my account again. I am so happy:D Thank you so much you saved my account :D
1. Divergence Test: 0:21 2. Geometric Series Test: 0:58 3. P-Series Test: 1:51 4. Telescoping Series: 2:33 5. Integral Test: 5:01 6. Ratio Test: 6:12 7. Root Test: 7:14 8. Direct Comparison Test: 8:12 9. Limit Comparison Test: 8:59 10. Alternating Series Test: 10:28 11. Absolute Convergence AND Conditional Convergence: 11:26 12. Practice Problems: 12:41
@aleph4425
3 жыл бұрын
goat
@kormakurolafsson2182
3 жыл бұрын
Love u
@kaylamancilla6563
3 жыл бұрын
You are so sexy.
@isatay4069
3 жыл бұрын
Bro the best
@pezpeculiar9557
3 жыл бұрын
I really appreciate this. I'm trying to focus on reviewing the ones I suck at, so this really helps me skip the stuff I'm already comfortable with.
bro Imma have a maths test in 2 hours.. prof made all these incredibly convoluted.. I absolutely love the straightforward manner you built up this video. it is incredible that some people can sum up months of curriculum in 45 minutes and everything is clear, all seems easy and meaningful in contrast to endless lessons in uncomfortable chairs mad respect
@Filthyt
4 жыл бұрын
This is more like 1.5 weeks or so
@monke5802
2 жыл бұрын
howd you do?
@lambda5949
2 жыл бұрын
Tbf tho actually learning the content vs memorizing the formulas are completely different. As a review tool, this is great but if you get asked a single out-of-the-box question that requires deep knowledge of the topic then just knowing a bunch of formulas isn't gonna give you the intuition to actually unpack any of this. I'm self-studying for BC and I find it helps a lot to watch these vids in tandem with another explanatory resource like Pauls Online or Khan Academy, which usually have intuitive explanations or proofs of each concept.
@dhuka4969
2 жыл бұрын
@@lambda5949 but it means nothing to me whether I memorize the formula or understand the formula, I just need a pass in order to continue my university study which is nothing about maths. It is just silly that my school make maths compulsory even for the history major.
@lambda5949
2 жыл бұрын
@@dhuka4969 Oh yeah, in that case, this vid makes sense, didn't think universities required that kinda thing so I was assuming this vid was tailored for high schoolers.
Who else got a calc exam coming up?
@vijaynagalla3989
4 жыл бұрын
Me😁
@insane_anatoly
4 жыл бұрын
@@vijaynagalla3989 me
@WhisDragonBallSuper
4 жыл бұрын
Me 😂
@rkv3731
4 жыл бұрын
in 2 days :0000
@alexandermbot9467
4 жыл бұрын
Me and series had never been my strong topic😅
I just want to say thank you so much. I watched a bunch of your videos on Calc 2 and I just aced my second exam. 100/100. Thank you so much you have no idea how much you truly help people.
Why have I looked everywhere in my book, the recorded lectures, other math books, etc. to find a list of the tests and how/when to use them, and this is the only resource I've seen that actually goes through them. You are truly God's gift to students, sir.
You explained 43 minutes, that's already like 3 weeks of calculus II all in 1 video! Thank you so much man!
@nipuniherath1451
Жыл бұрын
We covered this topic within half an hour in our university🥲
@Max-cu6bw
Жыл бұрын
@@nipuniherath1451 you covered 11 topics in half an hour??? u need a new university bro. that makes no sense. maybe 30min-1hr for each topic but not 30 min for all 11 lol.
@benjaminwhitehead4050
7 ай бұрын
@@Max-cu6bw Yeah we did all of these with sequences in one lecture
@richymanzo9817
2 ай бұрын
@@nipuniherath1451 30 minutes??? This is like 20% of all the content for calc 2
@LuisCruz-ns3bt
2 ай бұрын
@@benjaminwhitehead4050 Over here at UT it's the same case lol they treat calc 2 as a weed-out class
The Organic Chemistry Tutor once gave a student private lecture.The student is known as Stephen Hawking nowadays.
@Armyguywizerdo16
5 жыл бұрын
he ded now
@nihatdonmezov8354
3 жыл бұрын
Are you turkish?
@diags_1109
2 жыл бұрын
was
i am retaking calculus two because of this chapter, and I am currently relearning it and still barely getting it but this video is saving my life tbh !!!
@batuhan8964
5 жыл бұрын
so how did it go?
@greypoint000
5 жыл бұрын
It was so bad they died on the spot. Rest in Peace Jaz
@asleyvictor5627
5 жыл бұрын
@@greypoint000 let's have a moment of silence for Jaz
@CluckYou21
5 жыл бұрын
I had to retake it as well, I’m passing with a 90% now!
@Phenrex
4 жыл бұрын
SchmidtyBangBang Me too! Glad I’m not the only one who is retaking it and smashing the course lmao
I cannot put into words how much this channel has gotten me through college. My man you are an absolute legend!
@kateryna1611
3 жыл бұрын
Same!
I wanna say thank you. This video is so helpful. I got 96/100 in my third exam
your ability to make multiple high level topics so easy to understand is out of this world, you're awesome.
my calculus 2 final is in exactly 12 hours and before I started watching your videos 2 hours ago, I had absolutely no idea what this wizard scripture is But now I can safely say that I actually understand it and I'm going to ace the exam tomorrow I can't thank you enough, you are my hero /:
@jdaht
3 жыл бұрын
how did you do
@vaiterius
3 жыл бұрын
how did you do
@axlrose5082
3 жыл бұрын
@@vaiterius he died
@diags_1109
2 жыл бұрын
@@axlrose5082 its safe to say, yes he died
@racheltracy8124
2 жыл бұрын
@@diags_1109 Res in peace
man, I hate calc 2
@mrgoksu6349
2 ай бұрын
Totally agree
@baritoneboi2399
2 ай бұрын
I love calc and I’m in calc 2 right now, but omg this stuff is annoying and tedious-
@MusabBinAbdullah-mu7mk
2 ай бұрын
Us bro us
@Renzosfs
2 ай бұрын
@@baritoneboi2399FOREAL so happy my calc 1 teacher made me fall in love with calc because doing calc 2 made me understand why it’s the calc which people get hardstuck at
My calc 2 final is tomorrow and I'm here trying to retain as much information as I can, watching your videos. Thank you, you're a life saver
You have a gift for being able to condense a lot of information into one video and have the viewer leave with a good working understanding of the topic. You are the best math youtuber in this regard! Thank you!
thank you for taking the time of day to make these videos! I don't know how I would get by without you and your videos!
This is a lifesaver you have no idea how much I was struggling - I have to take an exam in a couple hours and I feel at least mildly confident in my ability to get a passing grade now. Thank you so much!!!
watching this 1hour before my exam 💀
@Microwave342
2 ай бұрын
How did you exam go?
@realndu
2 ай бұрын
@@Microwave342 I passed lol 😂 Thanks for asking ;)
@saifkharadi3010
2 ай бұрын
@@realndu did u ever study before watching the video
@realndu
2 ай бұрын
@@saifkharadi3010 Yeah yeah I did. But I usually leave the Topic of Series last. Hence I did it last minute.
you always had my back, from high school to uni. Thank you so much man.
I watched this video 4 hrs before my calculus exam and I understood all about the tests in 43:51 minutes #wow.....My lecturer spent 4 weeks on this topic and I didn't get anything LOL.....You the best bro
I have a math test coming up in two days and you just summed up 3 weeks worth of notes into a 45 min video!
Hell yeah! This video is saving me. Thank you so much for making this! My teacher spent 10 days covering this material, but I did not understand. Watched your video and now I'm ready for the exam.
Professor Organic Chemistry Tutor, thank you for a monster review of the different tests for Convergence and Divergence in Calculus Two. This is a tremendous amount of material for a student to absorb in Mathematics. The old fashion way to learn any subject is practice and pattern recognition. This is an error free video/lecture on KZread TV with the Organic Chemistry Tutor.
Yo Organic Chemistry tutor thank you for your videos, I have a barrier with my teacher and have been struggling in my class. But thanks to you and hours of practice I feel more competent in the subject. I'm sure you get this enough already but thank you for your time and dedication to helping us students out.
Simply the GOAT. Greatest KZread video I’ve ever watched from an educational perspective. Organic chemistry tutor I love you
This Man is a life saver. I am in the first semester of my university, and have a calculus exam coming up. Since I unfortunately contracted covid during this sem, i was unable to study properly. This Man literally summed up an entire chapter which my teacher taught in 3 weeks, in LESS THAN AN HOUR! And i literally feel so confident after this. Man, you are so special! I wish I had a teacher like you!
This is my second Academic year in Engineering,,you have always been my reference ever since I started. As I comment on this page today, there is an examination I must sit in a few hours !! Good work and Thank you Sir.
Got a BC calc AP in 9 hours and not once did I ever understand how to do these, let’s goooo
These video's are fantastic! I am so thankful that you made these, my cal2 teacher is horrible and you are saving my college career with these.
Currently learning Calculus right now and this is a lifesaver. Thank you!!
Wow! 2 weeks of material condensed into a 44 min video. Thank you so much!
Imagine paying for Prep101 when u have this guy
Who disliked this? This is so nice and concise, with practice problems to boot. Perfect.
My calculus final resulted this day, and I probably got 30-40 point by watching this video on the night of the day before the exam. Thanks man. Even though my math is good, I was confused by many tests in series topic. Great explanation video without confusing parts.
I dont know how to thank you. I understood these concepts, thank you so much, god bless you!!
Thanks for your help. This really helped me with AP Calculus BC
I love the asmr qualities of his videos, his voice, his writing, the lil clicks especially
Got a calc 2 final tomorrow at 2 and you're a life saver!!
Bro you're the saviour of all engineers. All hail O-Chem Tutor
my friend and i were screwed but this taught us more in one sitting than we learned in class or after days of reviewing notes. thank you i think you just saved us on this test
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Thanks! You saved my life for calculus I have an exam comming up and u really summed it up well :)
Incredible video, clear and detailed as usual, he has a gift for teaching. Also this video made me pass Calculus
I got a 100% on my calc 2 final. Thank you with every ounce of sleep that I was deprived of. You deserve it😭😭
Thank you. I love you so much. Calculus is not that hard we just need the professors to teach the same way you do.
I have a calc ii exam in two hours, this video and your channel in general has been a life saver. Before I found your videos I failed my first quiz (50%, mean score being 53%), and after finding your channel I managed to a much better score on my second quiz (85%, mean score being 54%). Thanks to you I can be confident I'll score at least an 80, and even hope for a 90. Honestly i would be failing without your channel.
@I_am_FRANCO
Жыл бұрын
In my uni it’s called calculus 3 whyy
Thank You. Best math help KZread channel out there
2x speed, time to cram.
@XWorldXWideX
4 жыл бұрын
LMAO. That’s impossible to follow 😂
@shineka5065
4 жыл бұрын
Mood 🧟♂️
@yusuf_kizilkaya
4 жыл бұрын
@@XWorldXWideX set it to 1.5, get used to it then try 2x
@TerryOnVinyl
4 жыл бұрын
lolol
@Armand__
4 жыл бұрын
@@XWorldXWideX i always watch his videos at 2x
Going into partial DE and complex functions feeling prepared. Thanks alot!
good luck on the AP test tomorrow
LOL I have a test this Tuesday. Good timing GOAT
@godlytechreviews4
3 жыл бұрын
same
@cesarc6044
2 жыл бұрын
wtf me too
just wanna let you know, youre the best. been watching your videos since highschool whenever i dont understand my teachers
this series has helped me a lot with my examns, however the part where you are calculating de limit of certain things can be easier by just taking the coefficient of the unkown X with the highest exponential
You are a great teacher . Your teaching methodology is very simple and easy to learn. You are doing a great job for a lot of people........
I love this guy! I don’t see many people in the comments actually saying how beautiful these math “tests” are that mathematics has a whole sorta new number series that can prove vital things in an equation.
i honestly can’t thank you enough thank you 👌🏽
You are amazing. Thank you. Seriously helpful content!
what would I do without you and your videos? thank you once again :)
THANK YOUUUU keep doing what you are doing you inspire me to help people
best video ever in the history of youtube imo ngl
I was struggling in BC and this video helped me.
thx bro u carried me through the entirely of calc 2 ❤❤ def wouldn’t have passed without ur videos :)
Thank you sir,your lecture is short and sweet,and it is understandable
Thank you and God Bless You!!!!
Man you are actually a life saver.
This video is just is incredibly great. Thank you so much!!!
Amazing video, helped me prepare for my calc 2 final tmr. Thanks!
this is one of the best videos i have ever seen...
You are the MAN!!! always straight to the point!! I love it! just subscribe to your website
You're an absolute god-send. Thanks for helping us get through school/uni XD
Sir you are a national treasure
You're such a life saver
WATCHED EVERY SINGLE VIDEO OF YOURS AND IT WAS TOO MUCH HELPFUL THANKS!
really thank you for your videos it really helped me in my studies
this was sooooo helpful!! thank you!!
You truly are a hero, I cannot express how thankful I am :'')
Thank you so much! Extremely helpful
Did I actually understand something?
Speed at 1.75, binge watch and practice through James stewart calculus .. All the best lad for your finals!
@aurelionsol5134
3 жыл бұрын
How did that work out for you?
@MShazarul
3 жыл бұрын
@@aurelionsol5134 I got a B minus. That's fantastic, particularly because I'm pursuing my bachelor's degree part-time. I believe the integral questions are the part where I made the most mistakes. In tutorials, the questions given are single problem like u-sub, integration by parts or integration by partial fractions. Just one of each and never a mix of those. But my examination will have an integral question that needs to be solved by u-sub and integration by parts or u-sub and partial fractions, etc.
This person is singlehandedly saving my calc 2 grade T-T
You are the best bro you just saved my life
Gracias profesor, es usted un hombre increible, teengo un examen en 6 horas, recen un ave maria por mi, quiero vacaciones. Un saludo desde madrid
You deserve the entire world
Thanks for such a great explanation 👍
This really helped thank you very much👍👍
You're my favorite teacher
Such a good and informative video
Your videos are brilliant .......keep it up bruh
Thanks, you helped me a lot.
I’m going to ace this test tomorrow, all because of you. Goat
Thank youu veryy much. You saved my life! ❤
you are so professional. you are better than my doctor lol.. thanks man.. god bless you ! I hope that you can achieve what you want to achieve in your life. edit:you gained a new subscriber ..you are a legend!
thank you! really you helped me, God bless you aya from morocco
Excellent video!!!! I love it! Paid off so much :)!
For the example at 35:58, could you also use the direct comparison test to show that the series is convergent?
This clip is the best!!!! Thank you so muchhhhhhh
Got a test tomorrow, thank you for this
This video deserves +100M views