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AP® Calculus AB-BC

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Moderate

Common Maclaurin Series

APCALC-B41KLW

If the Maclaurin series for $f(x)$ is given by:

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

...identify which common function represents the series.

A

$\cos x$

B

$ \cos(2x)$

C

$ e^x$

D

$ e^{2x}$

E

$ \sin(2x)$