Question

When a=1 use limits to determine the equations for all vertical and horizontal asymptotes of f(x)

Answer 1

There is no vertical asymptote and the horizontal asymptote is y = 1.

Step-by-step explanation:

The equation for a vertical asymptote can be found by setting the denominator equal to zero and solving for x. In this case, the denominator is 1, so there is no vertical asymptote.

The equation for a horizontal asymptote can be found by comparing the degrees of the numerator and the denominator. If the degree of the numerator is greater than the degree of the denominator, then there is no horizontal asymptote. If the degree of the numerator is less than the degree of the denominator, then the horizontal asymptote is y = 0. If the degree of the numerator is equal to the degree of the denominator, then the horizontal asymptote can be found by dividing the leading coefficients of the numerator and denominator. Since the numerator and denominator both have a degree of 0, the horizontal asymptote is y = 1/1, which simplifies to y = 1.