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Single Variable Calculus

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Ratio and Root Tests I

SVCALC-KUNLMP

The series:

$$\sum_{n=1}^\infty\frac{n^p}{2^n}$$

...converges for which values of $p$?

Select ALL that apply.

A

$p=1$

B

$p=\cfrac{3}{2}$

C

$p=2$

D

$p=\cfrac{5}{2}$

E

$p=100$