### Home > APCALC > Chapter 6 > Lesson 6.5.1 > Problem 6-168

6-168.

Determine the exact value of each of the following limits. Note that calculating the exact value requires that the limit be found analytically rather than numerically. Homework Help ✎

2

Careful! Be sure to check:

For a limit to exist, the limit from the left must agree with the limit from the right.What does

Recognize that this is Hana's Definition of the Derivative, and find

, or use l'Hôpital's Rule.

, which is also an indeterminate form.

Before using l'Hôpital's Rule, you will need to convert the argument into a single fraction thatTo evaluate this limit, you will have to use l'Hôpital's Rule twice.

To convert this limit into

form, let .

See the hint in part (a).