Hello, Khaali91!

1. Find the horizontal, vertical, and slant asymptotes of:

For a horizontal asymptote, consider

Divide top and bottom by

Then: .

. . There is no horizontal asymptote.

For vertical asymptotes, determine when the denominator equals zero.

We have: .

The vertical asymptotes are: .

For slant asymptotes, consider

We have: .

Therefore, the slant asymptote is: .