Limits Involving Infinity

Question

Find the equation of the horizontal asymptote for the function,  .

Options:

1. There is no horizontal asymptote.
2. y = 100
3. y = 1
4. y = x

Answer 1

Looking at the first terms x²/x, the numerator exponent is higher than the denominator. There is no horizontal asymptote, 1.

(It is a slant asymptote)