Radius of Convergence The radius of convergence of the power series is 3. What is the

Chapter 9, Problem 56

(choose chapter or problem)

The radius of convergence of the power series  \(\sum_{n=0}^{\infty} a_{n} x^{n}\)  is 3 . What is the radius of convergence of the series  \(\sum_{n=1}^{\infty} n a_{n} x^{n-1}\) ? Explain.

Text Transcription:

sum_{n = 0}^{infty} a_{n} x^n

sum_{n = 1}^{infty} na_{n} x^n - 1

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