Solved: Thi~ is often convenient or nece~sary in the power series method. Shift the

Chapter 5, Problem 5.1.32

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This is often convenient or necessary in the power series method. Shift the index so that the power under the summation sign is \(x^{s}\). Check by writing the first few terms explicitly. Also determine the radius of convergence R.

\(\sum_{m-3}^{\infty} \frac{(-1)^{m+1}}{4^{m}} x^{m-3}\)

Text Transcription:

x^s

sum_{m - 3}^{infty} (-1)^{m + 1} / 4^{m}} x^m - 3

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