How are the radii of convergence of the power series ck xk

Chapter 8, Problem 8E

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QUESTION:

How are the radii of convergence of the power series \(\sum c_{k} x^{k}\) and \(\sum(-1)^{k} c_{k} x^{k}\) related?

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QUESTION:

How are the radii of convergence of the power series \(\sum c_{k} x^{k}\) and \(\sum(-1)^{k} c_{k} x^{k}\) related?

ANSWER:

Solution 8EStep 1:Given thatThe power series ck xk and (1)kck xk

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