Find the Radius of Convergence Of $\sum _ { n = 0 } ^ { \infty } \frac { ( - 3 ) ^ { n } ( x - 1 ) ^ { n } } { \sqrt { n + 1 } }$

question 212

Multiple Choice

Find the radius of convergence of $\sum _ { n = 0 } ^ { \infty } \frac { ( - 3 ) ^ { n } ( x - 1 ) ^ { n } } { \sqrt { n + 1 } }$ .

• A)0
• B) \(\frac { 1 } { 3 }\)
• C) \(\frac { 1 } { 2 }\)
• D)1
• E)2
• F)3
• G)4
• H) \(\infty\)

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