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Single Variable Calculus

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Moderate

Rearrangement of Conditionally Convergent Series

SVCALC-JUKVB4

Is there a rearrangement of the series:

$$\sum_{n=1}^\infty \frac{n(-1)^n}{n^2+4}$$

...that converges to the value $-\frac{1}{\pi}$?

A

Yes

B

No