Convergence of a Power Series The power series converges for What can you conclude about
Chapter 9, Problem 57(choose chapter or problem)
The power series \(\sum_{n=0}^{\infty} a_{n} x^{n}\) converges for |x + 1| < 4. What can you conclude about the series \(\sum_{n=0}^{\infty} a_{n} \frac{x^{n+1}}{n+1}\) ? Explain.
Text Transcription:
sum_{n = 0}^{infty} a_{n} x^n
sum_{n = 0}^{infty} a_{n} x^n + 1 / n + 1
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