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AP® Calculus AB-BC

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Moderate

Recognizing Taylor Series

APCALC-II3D$W

For which function is:

$$\sum _{ n=0 }^{ \infty }{ \cfrac { { \left( -1 \right) }^{ n }{ x }^{ n } }{ \left( n \right) ! } }$$

...the Taylor series about 0?

A

${ e }^{ -x }$

B

$\cos { x } $

C

${ e }^{ x }$

D

$\sin { x } $