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

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).