Show that if C0 + C1x + C2x2 + C3x3 + converges for

Chapter 9, Problem 40

(choose chapter or problem)

Show that if C0 + C1x + C2x2 + C3x3 + converges for |x| < R with R given by the ratio test, then so does C1 + 2C2x + 3C3x2 + . Assume Ci = 0 for all i.

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