### Home > CALC > Chapter 2 > Lesson 2.2.2 > Problem 2-71

2-71.

If

What does the graph look like to the right?

What does the graph look like to the left?

Since there is a vertical asymptote at

, the limit does not exist. But we can still determine ifapproaches, or both. We are to determine if there is agreement among the limits as from each side.Test

Test a point close tobut a little bit larger:

Therefore,,Now test

You will find. Since

does not exist.

Evaluate and simplify.

Refer to hint (d).

Refer to hint (d).

For parts (a) and (b), explain the graphical significance of

and . Refer to hints (a) and (b).