Prove: If the interval of convergence of the seriesk=0 ck(x x0)k is (x0 R, x0 + R], then
Chapter 9, Problem 66(choose chapter or problem)
Prove: If the interval of convergence of the series \(\Sigma_{k=0}^{\infty} c_{k}\left(x-x_{0}\right)^{k}\) is \(\left(x_{0}-R, x_{0}+R\right]\), then the series converges conditionally at \(x_{0}+R\).
Equation Transcription:
Text Transcription:
sum_ k=0^ nifinity c_k(x-x_0)^k
(x_0-R, x_0+R]
X_0 + R
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