Introduction to Limits

This calculus video tutorial explains how to evaluate a limit using direct substitution and a data table. Examples include rational functions & trigonometric functions like sine, tangent, and secant.

How To Evaluate Limits From a Graph:

Evaluating Limits By Factoring:

Limits of Rational Functions :

Limits of Radical Functions:

Limits of Trigonometric Functions:

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How To Find The Limit at Infinity:

Infinite Limits + Vertical Asymptotes:

Limits at Infinity With Radicals:

Limits of Absolute Value Functions:

Limits of Composite Functions:

The Squeeze Theorem:

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Limits and Logarithms:

Limits of Exponential Functions:

Piecewise Functions - Limits:

3 Step Continuity Test:

Continuity and Differentiability:

Limits - Test Review:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

Limits - Free Formula Sheet:

[alicegonzalez]

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[samadams]

I was an absolute failure at high school math and algebra. I just got an A in College Algebra thanks to your videos. I can now start Calculus with confidence.
Thank you.

[amandafdes]

My test on limits is tomorrow, the timing couldn't have been more perfect! Thanks

[CubeWorldbyArchie]

Has no Idea about the topic but just came here to like the video because you helped me a lot with your great videos😊

[mecharenax]

i took 3 days to understand limits from my book. I understood it completely by seeing your videos
Thanks Alot!!!

[vasishtaserla]

This video is better than many videos which have millions of views . Good explanation

[piri-blaze]

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Cheers for your help!

[vecoinc]

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[georgesadler]

MR. Organic Chemistry Tutor, thank you for an awesome video/lecture on The Introduction to Limits in Calculus. Limits is an important topic in Calculus.

[Sincerely.Nature]

As always, your explanations are life savers!

[tednosaur]

Thank you so much you have no idea how hard this topic was for me before i watched this video

[somtras]

It only took 1 min to understand it thank you so much!!!!

[naodtesfay]

it is very interesting approach and methodology so i will use this method because i am mathematics teacher

[athenaa.bosendorfer]

Your videos are so helpful! I am very grateful. I do have a quick question. On the ones where we have to figure out the limit when direct substitution doesn't work, for example the first two I believe, you only calculated the limit coming from one side. Don't we have to calculate the other side too and make sure they match? Or is that a waste of time because we're assuming that's the only function if we were to graph it/the only function across x=+/- infinity? Hopefully this question made sense. Thank you in advance!

[tommygun]

Im still in 8th grade curious about learning calculus because I learned a lot from his vids...

[jaycaberte]

This video is really useful, It makes me Easy to Do advance review

[tarekc]

So basic. I would prefer to define limits rigorously using the delta-epsilon definition.
Its more helpful for the long term.

[zitojones]

How did you get the Sqr3/2? instead of decimal format

[jonykhan]

Good work, could I say when a function itself is not able to produce output of a specific input and it haunts the operation at this point. To overcome this situation we take help from the limit and limit helps us to take out from this situation. After calculating the limit value we GIVE THIS VALUE TO THAT FUNCTION WHICH WAS NOR PRODUCING ANY OUTPUT AT SPECIFIC INPUT??? iF THIS IS THE CASE THEN can say that function and limit both are different ??

[saradigna]

why did we need to rationalize the result in the last example (with secx)?