Problem of the Day #24 (Challenge)

POTD Challenge December 13, 2023
Author: excelex

If the value of ∑n=1∞arctan2n2\displaystyle\sum_{n=1} ^{\infty} \arctan{\frac{2}{n^2}} is xπy\frac{x\pi}{y}, find the value of x+yx+y.

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Problem Tags: Algebra Trigonometry
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Category: Problem of the Day
Points: 5
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