## Limits of Rational Functions – Fractions and Square Roots

This calculus video tutorial explains how to evaluate the limit of rational functions and fractions with square roots and radicals. It provides a basic review of what you need to do to find the limit. Whenever you a complex fraction, you should multiply it by the common denominator. If you have radicals and square roots, you should multiply by the conjugate. This video contains plenty of examples and practice problems for you to work on.

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### 37 Responses to “Limits of Rational Functions – Fractions and Square Roots”

1. Dhenielle Delos Santos says:

mas naiintindihan ko pa to kay sa sa tc at module namin

2. Suraj Jani says:

3. Awaty Zhyanm says:

live thank you

4. Thoeun Joker says:

So good

5. Maha Abdullah says:

You have no idea how you simplified math and make it fun to learn. Thank you

can you please do a video on proving limits using the epsilon-delta definition please🙏

7. Elizabeth Elias says:

Can u do on upper bound and lower bound plz

8. Malatiah Sakyi says:

am grateful

9. Honey-Marie says:

You are beautiful. That is all I have to say right now. Wow. So helpful this is so mind-boggling

lim_(x->16)(x^(2)-256)/( 4-sqrt(x)) help 🙂

11. Chethan Malik says:

Bro thanks man……. It is really helpful to me

12. W.D Gaster says:

Question on problem at 5:02 why was the GCF -1?

13. Pragyan Sarmah says:

Wow

14. Princess Dapito says:

what if x is only at numerator

15. Samiul Islam says:

G 180
note:
7:33 in such case you have to multiply the function with the common denominator of the numerator .memorize it

16. Smiley Deception - Inactive says:

Once again, Thank you! You've really helped me learn a LOT more than any other teacher in my life. I can't thank you enough. You're a blessing to people who have a hard time in Math. God bless you more!! :3

17. Supah X says:

Man In so dumb. I completely forgot that a / b = ac / bc so I was confused on why he didn’t do it to both sides.

18. Kiseana Newman says:

What if I had x^2 as a denominator?

19. Esther Obot says:

this was helpful u saved me from failing tysm

20. Kassie Battle says:

What would you do if you had a problem similar to these, but the limit is exclusively approaching from just the left or just the right?

21. Tong Muli says:

You are the best online professor in the world.

22. alex manaloto says:

Very sexy voice. 😀

23. Fhulufhelo Nengome says:

You are the best😇

24. Wahaab Mujtaba says:

You should do asmr bro ur voice is so soothing

25. Jonnell Grant says:

You need to tutor mechanical science please😭

26. Zubair says:

is the answer right @ 8:40?? Not 1

27. Jaelon Sanders says:

Now I gotta go online and teach myself this bullshit cause of this coronavirus shit

28. Rose Nyakhor Tuong says:

Talented I just love really love the way you made me understand many thanks 🤗🤗🤗

root(2)*root(2)= 2 , i think this is right

My tuition should've gone to this guy instead

31. Apsie Tese says:

very clear explanation. thank you sir

32. tdukeluke says:

It doesn’t make sense that x-4 substitutes to 1 if the limit of x is 4. Shouldn’t it be 0?

Edit: I’m dumb the values cancel

33. Oninab Resources says:

Get more on limits by following this link:

34. hit me up pls says:

hes so friggin helpful, i passed maths becos of his explaination holy shit THUMBS UP

35. amina attar says:

thanks

36. wilyz360 says:

Thanks for the tutoring

37. Josh says:

Wth i got lost in 7:06 where does that -1 came from?