Question

2006 AP Calculus Practice ... Help!

Answer 1

@jhonyy9 can you help at all?

Answer 2

@mathmale

Answer 3

Hello! In your numerator your highest power of x is x^3; in your den., that's x^5. When the highest power of x in the den. is a higher power than the highest power of x in the numerator, the limit of this rational fraction as x goes to infinity is zero.
This rule can also be used to find horizontal asymptotes.

What is the answer to this problem of yours?

Answer 4

Hmm let me see

Answer 5

0 yeap... just checked it using l'hopital's rule

Answer 6

divide the numerator and denominator by x^5 and then find the limits.
Remember \[\frac{ 1 }{ x },\frac{ 1 }{ x^2 },\frac{ 1 }{ x^3 },...\rightarrow 0~as~x \rightarrow ~\infty \]