Find the domain of the functionf(x) = k=11 3 5 (2k 1)(2k 2)! xk

Chapter 9, Problem 52

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Find the domain of the function

$f(x)=\sum_{k=1}^{\infty} \frac{1 \cdot 3 \cdot 5 \cdots(2 k-1)}{(2 k-2) !} x^{k}$

Equation Transcription:

$f(x)=\sum\limits_{k=1}^{\infty{}}\frac{1\ \cdot{}\ 3\ \cdot{}\ 5\ \cdot{}\ \cdot{}\ \cdot{}\ (2k-1)}{(2k-2)!}{x}^{k}$

Text Transcription:

f(x)= sum_k=1^infinity 1 · 3 · 5 · · · /(2k − 1)(2k-2)! x^k

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