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Find the Interval of Convergence Of $\sum _ { n = 0 } ^ { \infty } \frac { n } { 4 ^ { n } } ( x + 3 ) ^ { n }$

Question 272

Question 272

Multiple Choice

Find the interval of convergence of $\sum _ { n = 0 } ^ { \infty } \frac { n } { 4 ^ { n } } ( x + 3 ) ^ { n }$ .

A) $( - 3,3 )$
B) $[ - 3,3 )$
C) $[ - 3,3 ]$
D) $( - 3,3 ]$
E) $( - 7,1 )$
F) $[ - 7,1 )$
G) $[ - 7,1 ]$
H) $( - 7,1 ]$

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