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Numerade Educator

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Problem 80 Hard Difficulty

Find the sum of the series.

$$ \frac {1}{1 \cdot 2} - \frac {1}{3 \cdot 2^3} + \frac {1}{5 \cdot 2^5} - \frac {1}{7 \cdot 2^7} + \cdot \cdot \cdot $$

Answer

$\arctan\left(\frac{1}{2}\right)$

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Video Transcript

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