Suppose that the power series ck(x x0)k has a fi-nite radius of convergenceR1 and the
Chapter 9, Problem 58(choose chapter or problem)
Suppose that the power series has a finite radius of convergence
and the power series
has a finite radius of convergence
. What can you say about the radius of convergence of
? Explain your reasoning. [Hint: The case
=
requires special attention.]
Equation Transcription:
Text Transcription:
Sigma c_k (x-x_0)^k
R_1
Sigma d_k(x-x_0)^k
R_2
Sigma (c_k + d_k)(x-x_0)^k
R1 = R2
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