How to find limits on CRAZY GRAPHS (KristaKingMath)
► My Limits & Continuity course: www.kristakingmath.com/limits...
Calculus textbooks like to give you totally funky, disjointed graphs, and ask you to find the limit at various points along the graph.
The purpose of this is to make sure you understand the concept of one-side limits (left- and right-hand limits), and the difference between one-sided limits and general limits. Questions like this also make you show that you know the difference between the value of the function at a particular point and its limit at the same point.
In this video we'll do a limit problem with a crazy graph and examine several points where the function is discontinuous, to find the value of the left- and right-hand limits, the general limit, and the value of the function itself.
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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student-from basic middle school classes to advanced college calculus-figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: www.kristakingmath.com
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Пікірлер: 76
Thanks a lot! I've been struggling with this for a while now
Absolutely the best explanations I've been introduced to so far. THANK YOU!
@kristakingmath
4 жыл бұрын
You're welcome, Cullen! I'm so glad it helped! :)
THX YOU. All other videos were covering simple graphs and didn't explain these type of problems
I've been strugling with my Differential Calculus class, but I think I've just found my new teacher! Thank you so much for the clear and helpful videos! :)
@kristakingmath
5 жыл бұрын
You're welcome, Tommy! I'm so glad the videos are helping! :D
Very helpful and your voice is so soothing.
krista king,u are the king of calculus.i'm a great fan of your lectures.
this is the best tutorial i feel like im gonna cry, thank u so much!! ❤️❤️
YOU ARE A LEGEND Thanks a lot ❤️
best explanation, I have a calculus quiz tomorrow, this helped me understand limits
Best explanation ! Thank you ❣️
Fantastic explanation
This is exactly what l'm looking for it's very similar to my module thankk u so much
It's our exam tommorow and I'm having a hard time understanding this topic. Thank you for making this video,now I understand the topic in easy and understandble way. Thankyou for saving my life
very well explained!
Wow! Thank you
Thank you so much
Very helpful.
Wow thanks a lot ... I do understand now ❤️🙏
Thank you for this video! I learned a lot! 💗
@kristakingmath
2 жыл бұрын
You're welcome, Yuds! I'm so glad it helped! :D
Excellent tutorial, my concepts are cleared now.
@kristakingmath
9 жыл бұрын
Biranchi Narayan Nayak Glad it could help!
very well explained, thank you for your effort.
@kristakingmath
3 жыл бұрын
You are welcome, Yeasir! I'm glad the video helped! :D
I didn't understand the graphical concepts in the class and many other videos.but now i fully understand the topic clearly.thank you so much❤❤❤💖💖
@kristakingmath
4 жыл бұрын
You're so welcome, Akifa, I'm so glad this helped to clear things up! :D
which programme do you use to sketch the graph
best explanation
Thanks for the help.
@kristakingmath
6 жыл бұрын
You're welcome, glad it helped! :)
Thank youuuu
You save my life ❤️
This helps me to answer my quiz THANK YOUUUU
@kristakingmath
3 жыл бұрын
You're welcome, Aeranne! :)
Thank you for this ❤️❤️❤️
@kristakingmath
2 жыл бұрын
You're welcome, Bruh! :)
going to take my basic cal later morning, i pray your teaching helpss TOT
@kristakingmath
5 ай бұрын
You can do it! I hope it goes great!! 🫶
@2henaaa
4 ай бұрын
@@kristakingmath I GOT THE BEST RESULTS THANK YOU SO MUCH TOT
For clarification: if the function DOES NOT specify a number for x (so, just = f(x)), I am looking for a LIMIT. If the function DOES specify a number for x (e.g., f(3)) then I am looking for a VALUE, as in a precise or exact value. Am I understanding that correctly? So, from your examples, if x --> 3 + (from the right), the LIMIT (empty circle) of f(x) = 1; if x --> 3 - (from the left), the LIMIT (empty circle) of f(x) = 2. In the case of f(x) where x = 3, so f(3), the VALUE (solid circle) is 1.5.
@kristakingmath
8 жыл бұрын
Yes. If you have to find f(x) at x=3, then you're looking for the value (solid circle). If you have to find f(x) as x--->3^+ or 3^-, then you're looking for those left- and right-hand limits.
@sail2byzantium
8 жыл бұрын
Thank you!
Nice
I CANT THANK YOU ENOUGHHHHHHHH
i like your lecture its nice to improve basic knowledge . nice
@pigeonlove
5 жыл бұрын
Some extra basic knowledge for you, This isn't basic knowledge douche.
@cl0wnju1ce87
2 жыл бұрын
@@pigeonlove they said improve basic knowledge, hon. calm your shit.
How can one a find value of the function at the discontinuedpooint arithmeticaly (not from graph), obviously we cannot plug the limit, then how?. This is really making me confused
Thank youuuu very much! 💕✨
@kristakingmath
2 жыл бұрын
You're welcome, Joella! 😊
Thank you so much!!!!!!
@kristakingmath
3 жыл бұрын
You're so welcome, Georgina!
Can any tell how to plot this function in Mathematica ....................
I felt like such an idiot before watching this, but now I feel like a smart idiot. Thank you so much.
Thank uu!!
@kristakingmath
4 жыл бұрын
You're welcome, Mohaa!! :D
So since the graph diverges/discontinuous... the limit of f(x) as x--> 3 does not exist... yes?
@kristakingmath
8 жыл бұрын
+Lisa G Douglas Correct. Even though the left and right-hand limits exist at x=3, because they're not equal to each other (with is another way of saying there's a discontinuity there), the general limit as x-->3 does not exist.
Wow 😍
Thank you😍😍
@kristakingmath
3 жыл бұрын
You're welcome, Jaydeee! 😊
Thanks!
@kristakingmath
3 жыл бұрын
You're welcome, Sancho! :)
Thanks
@kristakingmath
3 жыл бұрын
You're welcome, Samarth! :)
Explain wow and voice too much sweet🤩🤩🤩
Can I ask question?
Thank uuu
@kristakingmath
3 жыл бұрын
You're welcome, First! :D
@coxzocidhejene684
3 жыл бұрын
@@kristakingmath t'was our examination yesterday yet it rlly helped me !
Thanks, I'll get high marks tomorrow for ya
SHIT!!! I STILL DON'T UNDERSTAND
-2 3 2 2 1 2 undefined undefined
@noone9960
Жыл бұрын
1.5