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AP® Calculus AB-BC

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Moderate

Taylor Series: Function About $0$

APCALC-GCP5NX

For which function is $\sum _{ n=0 }^{ \infty }{ \cfrac { { \left( -1 \right) }^{ n }{ \quad x }^{ 2n+1 } }{ \left( 2n+1 \right) ! } } $ the Taylor series about 0?

A

$\cos { x } $

B

${ e }^{ x }$

C

$\sin { x } $

D

$ln(x+1)$