### Home > CALC > Chapter 6 > Lesson 6.5.1 > Problem 6-169

6-169.

Find the exact value of each of the following limits. Note that finding 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.

Recognize that this is Hana's Definition of the Derivative, and find *f* '(*x*), or use l'Hopital's Rule.

→(0 – 0), which is also an indeterminate form.

Before using l'Hopital's Rule, you will need to convert the argument into a single fraction that

To solve this limit, you will have to use l'Hopital's Rule twice.

then write the argument as a single fraction.

See hint in part (a).