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The sum to infinity of the series:

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

A

$\cfrac{\pi}{2}$

B

$\cfrac{\pi}{4}$

C

$\pi$

D

$\cfrac{\pi}{8}$

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