Prove: If limk+
Chapter 9, Problem 64(choose chapter or problem)
Prove: If \(\lim _{k \rightarrow+\infty}\left|c_{k}\right|^{1 / k}=L\), where \(L \neq 0\), then \(1 / L\) is the radius of convergence of the power series \(\Sigma_{k=0}^{\infty} c_{k} x^{k}\).
Equation Transcription:
Text Transcription:
lim k right arrow+ infinity |ck|^1/k=L
L is not = 0
1/L
sum_k=0^ infinity c_k x^k.
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