### 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 is approaching positive or negative infinity.

Simply evaluate at

.

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:Either way, your answer should be

.

This is Hana's definition of the derivative.

Findand.

Refer to the hint in part (a).

Which problems above can be interpreted as the definition of the derivative at a point?

Refer to the previous hints.