Finding Limits at Infinity of Radical Expressions | Indeterminate Form Infinity over/minus Infinity

In this calculus tutorial/lecture video, we discuss some strategies on how to evaluate some limits at infinity of radical expressions. This is important in finding the horizontal asymptotes of graphs of functions.

[angeliadawo]

I needed so much of clarity and this video really helped a lot! Thank you so much for the help😊

[YAYAMEDIA-suup]

Am from Ethiopia even if after u launch this video it goes to tri years still it is working for us 10q

[alejrandom]

thanks a lot!!! I had a lot of questions about limits and you have answered all of them!

[nadineahmed]

This video is so so so so so so so helpful and awesome!!! Thank you so much :)

[djijspeakerguy]

for the examples with the radical in the numerator, what if I have an integer inside the radical??
example: (sqrt(11+6x^2))/3+8x

[changchang]

Came here in search of the 3:15 part. Thanks

[melir]

Why don't we put a negative sign on x .on the denominator? Since x is from -infinity

[millerchow]

Awesome video, except I was confused by the last two examples; which was the same limit except for the fact that first x approached positive infinity and then in the second, x approached negative infinity...why did you use intuition on the last example? Why did you not use the conjugate, then add the neg sign to get -1/10. If you used intuition on the last example to get infinity as the answer, why didn't you use intuition on the second to last problem also? Thank you for your excellent video...

[ssyapp]

Thank you! Thank you! And thank you! ✨

[axeldaliramirezgonzalez]

How do I evaluate a limit at infinity when the numerator and denominator have roots and the highest power of x is x?

[marioivanovivanov]

just a quick question..for the last limit can't i just take out 1/x to solve the limit? How can i be sure that i'm using the right technique to solve the limit. Is there a way to figure it out or it's just a matter of exercise before you learn?

[douaamoussaid]

hey, thank u and can we know if we solved a limit the right way because we'll use them on derivates and during my exams i get anxious by not beeing sure if it's right ?

[ibokimcaesar]

Can I request a video for the basic concepts of Calculus, beginner level stuff and some answers sheet so that we can test our newly gained knowledge. Thank you in advance