### Home > CALC > Chapter 3 > Lesson 3.1.1 > Problem3-12

3-12.

There is either a hole or a vertical asymptote at h = 0. If there is a hole, then the h will cancel out.... and the limit will approach a finite value. If there is a vertical asymptote, then the h will not cancel out... and the limit will not exist. Simplify the numerator to see if the limit exists.

Refer to the hint in part (a).