Question

Evaluate Positive, and Negative Infinite Limits of f(x)= ((x^3 +2)/(x^3 +sqrt(4x^6 +1))). Find horizontal asymptotes if any.

Answer 1

\[f(x)=((x^3 +2)\div(x^3 +\sqrt{4x^6 +1})\]

Answer 2

I know the answer is, 1/3 for positive infinity, and -1 for negative infinity, and the asymptotes are 1/3, -1. I just can not figure out why at all.

Answer 3

Nevermind figured it out :/