APFIVE Power Series Convergence and Sum
Let the function S be defined by S(x) = ∑(nx^(n-1)) from n=1 to infinity. For which values of x does the series converge, and what is the value of S(1/3)?
A
|x| ≤ 1; S(1/3) = 9/4
B
|x| < 1; S(1/3) = 9/4
C
|x| < 1/2; S(1/3) undefined
D
|x| < 1; S(1/3) = 3/2
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