### Home > CALC > Chapter 3 > Lesson 3.3.2 > Problem 3-110

3-110.

Evaluate each limit. If the limit does not exist, say so but also state if

*y*is approaching positive or negative infinity. Homework Help ✎Which problems above can be interpreted as the definition of the derivative at a point?

Simply evaluate at *x* = 0.

You can multiply the top and bottom by the conjugate:

You might have noticed that this is Ana's definition of the derivative:

Rewrite the given limit as:

Deconstruct the definition:

Write the derivative equation:

Evaluate at *x* = 1:

*a* = 1

This is Hana's definition of the derivative.

*a* = 25

Find *f* '(*x*) and *f* '(25).

Refer to the hint in part (a).

Refer to the previous hints.