Question

How do you find the asymptotes for #f(x) = [(e^-x)(x^5) + 2] /[ x^5 - x^4 -x +1] #?

Answer 1

x=±1

Explanation:

To find the asymptotes, you need to find all the zeros for the denominator, or in other words, values of x that would make the denominator equal to 0. The way you find these zeros in by using synthetic division. The zeros in this case are ±1 and ±i. I can't show equations for synthetic division because you have to draw it, but you can look it up. Since this is an asymptotes, they can only have real numbers, so the only asymptote is x=±1. Ask me if you need more explanation