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Convergence of a Sum and Radius of Convergence

Find the function "f(x)" which this sum converges to on the I.O.C..
∞
Σ ((n+1)x^n)/(2^n)
n= 0

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Convergence of a Sum and Radius of Convergence are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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