Arctangent Series Summation

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What is the sum of the series $\sum_{n=1}^{\infty}\frac{(-1)^{n+1}}{2n+1}$ ?

$\frac{\pi}{2}-1$

$\frac{\pi}{4}-1$

$\frac{\pi}{4}+1$

$1-\frac{\pi}{4}$

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