Suppose that the power series ck(x x0)k has radiusof convergence R and p is a nonzero
Chapter 9, Problem 56(choose chapter or problem)
Suppose that the power series\(\\Sigma c_{k}\left(x-x_{0}\right)^{k}\) has radius of convergence \(R\) and \(p\) is a nonzero constant. What can you say about the radius of convergence of the power series \(\Sigma p c_{k}\left(x-x_{0}\right)^{k} ?\) Explain your reasoning. [Hint: See Theorem 9.4.3.]
Equation Transcription:
Text Transcription:
Sigma c_k (x-x_0)^k
R
p
Sigma pc_k (x-x_0)^k?
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