Why don't professors explain stuff like this? I pay ridiculous tuition just to come home and watch youtube lectures instead.

@dinaoom977

8 жыл бұрын

+Austin Texas we pay all this money to get a piece of paper from the university saying we did the work

@nw3877

8 жыл бұрын

They think we know already . LoL

@ericmanso966

8 жыл бұрын

Yah and then when we get to higher level course , they look at us and say "u were suppose to learn this in cal 1".....

@mr_underscore5320

7 жыл бұрын

Nick M Yeah, Only if those stupid professors stopped using those "Technical Terms" and explained us in "Simple Terms" like this guy did, life would be easier.

@halloom

7 жыл бұрын

yeah ...... very

I love it when he says: "what does that actually mean," and explains it...soooo much clearer

@gaminghats813

2 жыл бұрын

i know right

i really don't understand why teachers explan things in a boring way instead making it interesting like this guy did...thanks

Omg! He broke down limits and continuity in 7 minutes and I actually understood it! Prior to this, it has taken me weeks trying to understand but to no avail. Wow!

@aniketghosh6993

7 жыл бұрын

It takes minutes understand regardless of who teaches.It is extremely easy.

@Ash17Goswami

6 жыл бұрын

Musti lmao

@SteakAndMusic

5 жыл бұрын

Aniket Ghosh Apparantly it wasnt very easy for you if youre on this video

SO clear! thank you!!! I wish i would have seen this back in January when class started...

@blueovaltrucks Thanks! g(x) refers to a "function", and we could have used f(x) or j(x) or h(x) instead, and it wouldn't change anything. The "function" is both algebraic and has a graph, so here you can look at the "graph of g(x)", meaning the graph of the function. Hope that helps!

I feel like I have just been hit by a bolt of Noetic lightning. Thank you!

They say a person really knows a subject when he can explain it clearly, and you sir know this stuff! thanks for your help

I really appreciate you taking the time to make this. Thank you!

This was so helpful. Taking a six week course on calculus 1, it goes so quick, the simplified explanations are much appreciated!

It actually makes sense now

Why did you stop making videos? This is the best video I've seen regarding this subject! Thank you for your help!

Coming back to this video as I start calc b because I remember how much help this was in part a. Very helpful, thank you!

What!! This truly is a good explanation. Thank you!

Phenomenal explanation. I'm currently teaching myself Calculus using "Calculus for dummies". After reading the chapter on Limits and Continuity, and then viewing this video, I'd say I have a good broad understanding on the topic. Thanks

You did a fantastic job!! Thank you man, I will definitely be checking out more of your videos!

Hey, thanks for the great video! Question: can we really affirm that the limit exists whenever the function is continuous, considering the cases when it goes to infinity and cases such as y = sin(1/x) ?

Extremely good video! FarFromStandard is saving lives one video at a time!

I just understood this so much better. you taught me in 7 mins what my teacher failed to do in a week THANKS SO MUCH

i learned more in this video than i did in a month of ap calculus. WHAT. instant sub

a faithful title of the video.

Loved it. !! awesome....another aspect of limits clearly defined and demonstrated,,very thankful for demystifying a hard concept. a5Star job..thanks again !!

it IS the best explanation of limits and continuity. Thanks.

the title stays true to its meaning ..this actually the best definition of limits i have seen so far, i learned a lot of things and it cleared out my confusion, thank you!!

Love your explanation. You made it easy and clear.

@FarFromStandard Thanks it does. I always have problems with the notation and what it means. One more question. At 3:50 you talk about f(3) = DNE will it ever be undefined?

This guy is awesome.. God level teacher..😀😀 Loved it man,simply exploded my mind by clearing my concept..

Thanks Kevin G! Good to see the Mathletes paid off!

That was a great explanation! I feel I like I am starting to grasp the limit concept! Thanks so much!

This is the best explanation I've ever seen!

first time I actually learned something in calculus...THANX for the help!!

Thank you for the explanation. I was lost before this video.

Very VERY much easier to understand then by reading the examples given to you out of my Calculus textbook. The text book just makes everything more complicated and i am unable to have teaching hours because my schedule makes that nearly impossible to meet with my professors. You have my deepest thanks from a football player at University of Texas at Austin for making the first chapters much easier to comprehend.

How we find exact length of ovals circumference by limit method up to three decimal point

You are a literal blessing

Great video. We watched it in class and my students caught the slight mistake at the beginning and actually helped engage the class. Thanks.

@hameed That's a great question! Whether or not a limit exists ALWAYS depends on the x value - whether or not the function is piecewise. As the video says, for CONTINUOUS functions, the limit at any given x value will be = f(x). Piecewise functions can be continuous; the two that we happened to draw in this video were discontinuous, and so that's why the limits DONT exist ONLY at those specific x values. Limits existed on the continuous PARTS of those piecewise function. Hope that helps!

Best explanation ever! Thank you Sir!

Quick question: the function f (x)= [x] where [x] denotes the greatest integer function is continous at?

THANK YOU SO MUCH FOR THIS VIDEO!!!! Our teacher talks so fast thats why i cant understand her. Kudos to your teaching!!! ❤️ i understand everything now

With thee AP exam tomorrow, and my teacher's blog not helping, this was very useful

Great lecture. Posted this in my calc. discussion forum!

It's really easy to understand such tough concept of limit by u sir....thanks alot. upload more videos of class BSC mathematics. so that it will be easier for me to understand any concept in the blink of an eye.

Thank you! This helped me get through my AP Calc hw!

Like your style, dude!

You have a gift from God to teach.

Thank you for this video! I found it super helpful.

@lilmisskee245 I don't know if your question has been answered but when there's a hole there's still a limit, there just wouldn't be an actual value, f(x) wouldn't exist. If there was both a hole and a filled in dot, the hole would be the limit and the dot would be the actual value so they would be different

This is a great video, keep up the good work! Calculus is terrific.

I need a teacher like you.

This video was great, keep up the good work...💪💪💪

Wow ❤️ you explain so clearly

So do you use limits to graph? Because every video I've seen so far already has the graph, and the limits just describe the discontinuity in the graph. You have to be able to graph with them or else they seem kind of pointless.

Thanks a lot! Very easy to understand! Cool dude!

2:27 How? The way I see it, the limit approaches 2 from both hand-sides :( or do the two kinds of dots denote the two hand-sides?

@rohenrshah

5 жыл бұрын

From the left it definitely approaches 2, but from the right - you have to look at where x=2.01 (or some number a bit to the right of X=2). And there we can see that the Y-Value is actually Y=1. Does that make sense? And the limit is what the Y-Value is.

I got more information in 7 minutes, than my professor explained me in 3 hours

Im glad that I come here after 12 years

well. I have to agree.. this is possibly the best explanation about continuity... India rules.. cheers from Bogota, Colombia!! Thank you!

Great and precise explanation!!

Are piecewise functions always not limits? Or does it depend on which x value you approach?

@blakknwytt Excellent question! There is no y value for x = 3 because there is a hole. If instead it were a smooth curve, then you're right, the y value at 3 would equal 4. A "hole" literally means there is a gap on the function. So when x = 3, there is no y value at all. But when x = 2.99999, there is a y value, 3.99999 (so basically 4). And when x=3.00001, there is a y value, 4.00001 (basically 4). So the limit at x =3 is 4, but at x =3 there's no exact y value because there is a hole

as far as i understood the discontinous curve drawn does not represent the equation g(x)=3 as the equation means that when the value of x approches 4 then f(x) should approach 3 but in the curve its vice versa .

Thank u for the tutorial.. But I'm confused at 3:50. Why is there no y value for x=3? From the way I see, there's one and it is y=4. How can it be not defined? Pls help to clarify..

This was Excellent...but what does it mean to say a function is right or left continuous? Your help is greatly appreciated!

Great video!!!

I like the informal version explanation. Very helpful especially for us non-math majors. One question, the g(x) refers to the graph?

This was extremely helpful! I am going to use your videos for my summer AP Calc. assignment.

Thank you so much bro. I very appreciate it.

it could be a stupid question but on the second example when you did the limit to the f(3) the answer is smaller than 4 and bigger than 4 so it should be undefined ???

Hi. So i have a question. My teacher basically confused me with this lesson. He kinda helped me out with it. But my question is does the limit not exist when the point on the graph is not filled in? Or when it is filled in? Because there's a closed point and an open point. Also, the graph (red) had no complete line. Does that mean its discontinuous?

THIS DUDE JUST SAVED ME MY SCHOOL DOES NOTHING

@FarFromStandard THANK YOU!!! that cleared every doubt I had... Hoping to see more stuff from u on calculus

ill be honest, the video lives up to its title

Didnt he mix up his x and y values for the function g(x)?

Really a great explanation.....

Nice vid dude...thanks for the explanation!

Hey bro, great explanation. Better than any teachers have ever taught me!

You mean to tell me I didn’t understand limits because I could not comprehend the concept that: 1. Limits are not restricted to the point actually existing on the function, only if it can be approached from the left and right sides on that function And 2. A one sided limit has nothing to do with whether the point exists in the function, only if it can be approached on the function from the + or - side Fuck. That’s a really dumb reason for me to be failing this class rn. Thank you thank you thank you.

Great video. Clear and understandable. Keep it up.

Literally best👍

OOH MY GOODNESS. THIS HELPS SO MUCH. I LOVE THIS T-T

Thanks! This helped a lot!

Awesome explanation.......if possible can u do one video related to integration?!?! Higher order integrals...!!!

i actually learned something from this lol . good work

really help me to undrstand about limit and continuity.. keep up the gud work! :)

1:07 - so suppose if for y=sqrt(x) when x approach 0 the limit exist. what happens with the limit from the left? or you say that there is no limit for sqrt when x ->0?

@XecutionStyle

10 жыл бұрын

You're right, there's no limit for y=sqrt(x) simply from that the function is not continuous to its left, and therefore cannot have a limit inherently. This is only true for R space (with real numbers) however.

So much better at teaching than my math teacher!

you should tell about continuity more than you did it in this video! Next time i want to see more examples Thanks !!!

for the early discussion, u said x approaches 4 for g(x)....but u showed in the (black) graph that the number "4" in the y-axis, not in x-axis......why?? :3

thank you so much! im self tutoring myself with my old edition calc book (so id have less difficulty when i get back to school) an i never got what the lim was... now thanks to you, i do! i wish you could be my tutor!

What if the parabola is parallel to y axix?

Very helpful! Thank you so much!

for f(3) wouldn't it be undefined, rather than DNE, since it is a function

wow... this lecture is so much helpful!! :D thank you so much!

so that little circle at (3,4) is a hole?

OMG! THANK YOU SO MUCH! I UNDERSTAND THE LIMITS WONDERFULLY NOW!

Well such people seem to get the point across and make difficult concepts easier to understand so I'm not complaining. Also this sort of method of teaching seems to be used in most places around the world like Japan, for instance, which many can agree on being one of the world's hotspots for new and innovative ideas.

extremely good tutorial! thank you

In the 2 nd example ..how can say that f(x) value does not exist at x=3,it has value of 4 there

thank you very much, you pretty much explained the whole idea behind continuity.