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AP® Calculus AB-BC

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Moderate

Using the Ratio Test for Convergence

APCALC-TJWBQB

What is the interval of convergence for the series $\sum _{ n=0 }^{ \infty }{ \cfrac { { x }^{ 3n } }{ \left( 3n \right) ! } } $?

A

$-\infty \ < \ x < \infty $

B

$-1 < x < 1$

C

$0 < x \le 1$

D

$0 < x < 3$