### Home > CALC > Chapter 3 > Lesson 3.3.1 > Problem 3-92

3-92.

While using the definition of a derivative, Lulu used the following limit. For what function was she finding the derivative? How can you tell? Without simplifying this expression, determine the limit. Homework Help ✎

Lulu used Hana's definition of the derivative;

Examine Lulu's limit: What if *f*(*x*)?

Once you determine *f*(*x*), use the Power Rule to find *f* '(*x*), the derivate function.This derivative function is the value of Lulu's limit as *h*→0.