## 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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Want to learn more about limits using PreCalculus Methods? See the video I did here: https://youtu.be/p00flTHInX8

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

Infinity doesn't have any limit ðŸ˜‰

Thanks Mr.Mario for the awesome video!

millions thanks from India too!

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

Thank you so much!!!

The light is spoiling your video.

pls consider changing your thumbnail its getting kinda steal

really good videos though <3

I understand this lesson so please learn us differentiation method

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

would x squared be bigger than 8 squared?

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

Thank you!!

Thank you

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

thanks for the impact

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

finally understand, thank you sooo much

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

Thank you!

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

Thank you

Omg i can understan ðŸ˜©

Thank you so much

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

Good work

Very comprehensive, thank you.

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

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

Thanks sir!

i love you !