### Home > CALC > Chapter Ch5 > Lesson 5.2.5 > Problem 5-104

5-104.

This is Ana's definition of the derivative. The limit is equivalent to *f* '(0).So you can use the power rule to find the limit, if it exists.

Refer to the hint in part (b).

Recall that derivatives do not exist at locations where *f*(*x*) has a: cusp, endpoint, jump, hole or vertical tangent.

Sketching the graph may help visualize the issue.