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

3-110.

Evaluate each limit. If the limit does not exist due to a vertical asymptote, then add an approach statement stating if is approaching negative or positive 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.

Find

and.Refer to the hint in part (a).

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

Refer to the previous hints.