Prove: If the power series k=0 ckxk has radius of convergenceR, then the series k=0
Chapter 9, Problem 65(choose chapter or problem)
Prove: If the power series \(\sum_{k=0}^{\infty} c_{k} x^{k}\) has radius of convergence \(R\), then the series \(\sum_{k=0}^{\infty} c_{k} x^{2k}\) has radius of convergence \(\sqrt{R}\).
Equation Transcription:
Text Transcription:
sum_k=0^ infinity c_k x^k
sum_k=0^ infinity c_k x^2k
sqrtR
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