Limits at Infinity

Learn how to find limits as x approaches infinity. We discuss the three cases with some examples in this free math video tutorial by Mario's Math Tutoring.

0:22 Formula for the limit as x approaches infinity
0:37 Example 1 looks at when the limit approaches 0
0:58 How to quickly tell the limit by analyzing the powers of x in the numerator and denominator
1:59 How to show more rigorously that the limit is zero
3:25 Example 2 looks at when the limit is the ratio of the coefficients
6:17 Example 3 looks at when the limit goes to infinity (no limit)
6:20 3 Possible scenarios looking at the numerator and denominators highest degree.

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[SUHCALVINAMBE]

You're a great tutor, man. I passed my math course with an A because of you.

[ellastewart]

This man deserves all the subscribers in the 🌎

[mothman]

Where were all these wonderful teachers when I was in high school? :)))

[melanieveliz]

I'm glad I came here instead of trying to figure out what the textbook was saying all day. Thank you

[strawbkittycake]

I really appreciate and admire your approach to teaching, as well as your comprehensive methods that touch both intuition and logic. Fantastic work, sir!

[zeke]

As helpful as this was, I don't think I've ever heard anyone say learning limits was exciting. Thanks!

[bittersweeter]

Thanks Mr.Mario for the awesome video!

[marsamenace]

thank you mario you are saving my grade

[gistonenigeria]

thank u very much ur video is very good, concise, and straight to the point

[tapsydoodle]

is there a way to do the last one by multiplying 1/highest power?

[Muneer]

Can it be done to process inequalities equation to infinity to form equalities

[AM-nlyo]

Omg i can understan 😩
Thank you so much

[theodorz]

Love how pedagogical you are when you teach!

[alaamakki]

still cant get the third case.... what is the answer supposed to be exactly???

[ahmed_deek]

I understand this lesson so please learn us differentiation method

[dhatridongre]

Why didn't you solve the 3rd scenario in that rigorous way? By the way, your videos are great and awesome.

[tristanhowse]

How would I figure it out if the numerator is smaller (3—n^2)/7n^2+4

[fatriantobong]

why the answer is not 6 on the third question by dividing everything by x^3

[katrinagarcia]

why did you multiply them by 1 / x^2 and I / x ?

[josevillar]

Nice video! But you forgot to write the limits each time you wrote the equals sign