## 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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### 31 Responses to “Limits at Infinity”

1. Mario's Math Tutoring says:

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

2. SUH CALVIN AMBE says:

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

3. digitalkitty cat says:

Infinity doesn't have any limit ðŸ˜‰

4. Bitter Sweeter says:

Thanks Mr.Mario for the awesome video!

5. Badal Raj says:

millions thanks from India too!

6. mothman84 says:

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

7. SJM Productions says:

Thank you so much!!!

8. The Gringo's says:

The light is spoiling your video.

9. Karl Chester Inao says:

pls consider changing your thumbnail its getting kinda steal
really good videos though <3

10. Axmed Faaraxaad says:

I understand this lesson so please learn us differentiation method

11. Una Reina Peruana says:

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

12. Khanzeh- says:

would x squared be bigger than 8 squared?

13. Alaa Makki says:

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

Thank you!!

15. Arctrooper Rob says:

Thank you

16. Tapiwa Pawandiwa says:

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

17. hart pwambodi says:

thanks for the impact

18. Zack C says:

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

19. JuJu Nattharat Huang says:

finally understand, thank you sooo much

20. JosÃ© Villar says:

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

21. Dazzling star says:

Thank you!

22. Dhatri Dongre says:

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

23. ONGEZIWE MBHELE says:

Thank you

24. A M says:

Omg i can understan ðŸ˜©
Thank you so much

25. iralemyra says:

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

26. Muhammad Ahsan says:

Good work

27. danigirl6680 says:

Very comprehensive, thank you.

28. Tristan Howse says:

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

29. tony stark says:

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

30. Frithjof says:

Thanks sir!

31. FuriousBurrito says:

i love you !