Limits of Exponential Functions | Calculus

This calculus video tutorial explains how to find the limit of an exponential function using l'hopital's rule.

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:

[MG-gcnn]

You have saved me throughout my exams over the years, thank you bro! I’m a 4th year in college and it looks like I’m gonna be staying a while longer. Thank you for doing what you do man

[HeroUnion]

Can you do a tutorial how to solve limits like these (complex) without using l'hopital?

[georgesadler]

MR. Organic Chemistry Tutor, thank you for using the classical l'hopital's Rule to evaluate Limits of Exponential Functions.

[caralouisejam]

This is actually our topic and had my exam a while ago

[jadeconcepcion]

Thanks for helping us! I'm liking all of your videos!!!

[Tenorsax]

7:22: This is unnecessarily complicated! The derivative of e^x is e^x. You learn this in school right at the beginning of differential calculus. You don't need to use the extended exponential rule specifically for this.

[ayansuleymanova]

Thank you soo much!!! It helped me a lot

[coolmanchu]

Can you make a video on how to use a graphing calculator? Please I really need help.

[nihrantzbunreth]

please make videos about Barycentric geometry

[theonecallednick]

Lol thank you for uploading this before ky exam!

[cyrilletamayo]

Thanks!!This is my report topic tomorrow in Basic Calculus 11th grade

[kreideprinz]

jan 8 2020 uploaded. what a time a to be alive lol. this couldve been uploaded later thank god

[anotherguy]

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For where your treasure is, there will your heart be also.
Matthew 6:19-21

[Myssticc]

Lol I actually just learned this, but when you have to start using synthetic division that’s where the bs starts

[ChrisOffner]

Snouldn’t it be d/du in your aside derivative of a^u? It’s not just about “any variable”, it’s about having the variable we’re deriving over in the exponent. If we did d/dx[a^u], u would just be some constant in terms of x. So it’d be d/dx [a^u] = u * a^(u-1) just like if it were some normal number. Only if we have d/du [a^u], or d/dx [a^x], is your solution correct. Somebody correct me if I’m wrong.

[kevinmadden]

The result can be simplified to ln(16/81).This can cut down on the computation.

[v.johnson]

so for the first one, you still are able to use quotient rule right? L'hopitals rule is just more convenient?

[yarilopez]

Character In the video It's great, I like it a lot $$

[amramawy]

can someone please explain to how 0/0 can be anything other than undefined value ( math error) ?

[Diegownz]

Just wondering
But is it true that 3 ln 4 = ln(4^3)
Or 3ln 4 = ln(3*4)