?Show that if \(\lim _{n \rightarrow \infty} \sqrt[n]{\left
Chapter 11, Problem 43(choose chapter or problem)
Show that if \(\lim _{n \rightarrow \infty} \sqrt[n]{\left|c_{n}\right|}=c\), where \(c \neq 0\), then the radius of convergence of the power series \(\sum c_{n} x^{n}\) is \(R=1 / c\).
Equation Transcription:
∑
Text Transcription:
Lim_n rightarrow infinity n sqrt |c_n| = c
c neq 0
Sum c_n x^n
R=1/c
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