?

AP® Calculus AB-BC

Free Version

Upgrade subject to access all content

Easy

Matching Limit to Exponential Function

APCALC-KWOUZ0

For which of the following does $\lim \limits_{h \to 0} \cfrac{f(x+h)-f(x)}{h}=e^x$?

A

$f(x)=\ln x$

B

$f(x)=\cfrac{1}{x+1} e^{x+1}$

C

$f(x)=e^x$

D

$f(x)=\cfrac{1}{e^x}$