### 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

:This is Hana's definition of the derivative.

Find

and.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.