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AP® Calculus AB-BC

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Difficult

An Infinite Sum

APCALC-CQJEJS

Find the sum of the given series:

$$\sum _{ n=1 }^{ \infty }{ \frac { 2 }{ { n }^{ 2 }+2n } } $$

A

$0$

B

$\cfrac{2}{3}$

C

$1$

D

$\cfrac{3}{2}$