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AP® Calculus AB-BC

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Moderate

Interval Of Convergence

APCALC-BWAKGJ

Find the interval of convergence for the power series:

$$\sum _{ n=0 }^{ \infty }{ { \left( \cfrac { x }{ 3 } \right) }^{ n } } $$

A

$ (-\cfrac{1}{3}, \cfrac{1}{3})$

B

$[-\cfrac{1}{3},\cfrac{1}{3}]$

C

$ [-3, 3]$

D

$ (-3, 3)$