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Use the Taylor series for $\tan^{-1}x$ at $x=0$ to find the sum of the series:

$$1-\frac{1}{3}+\frac{1}{5}-\frac{1}{7}+\ldots$$

$\cfrac{\pi}{6}$

$\cfrac{\pi}{4}$

$\cfrac{\pi}{3}$

$\cfrac{\pi}{2}$

$\pi$