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AP® Calculus AB-BC

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Taylor Series For Cos x

APCALC-YKELKB

Find the Taylor series for $f(x) = \cos x$ centered at $x = 0$.

A

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

B

$\sum _{ n=0 }^{ \infty }{ \cfrac { { ( -1 ) }^{ n+1 }{ x }^{ 2n } }{ ( 2n ) ! } } $

C

$\sum _{ n=0 }^{ \infty }{ \cfrac { { ( -1 ) }^{ 2n }{ x }^{ 2n } }{ ( 2n ) ! } } $

D

$\sum _{ n=0 }^{ \infty }{ \cfrac { { ( -1 ) }^{ n }{ x }^{ 2n } }{ ( 2n ) ! } } $