- Thread starter
- Moderator
- #1
- Jan 26, 2012
- 995
Thanks again to those who participated in last week's POTW! Here's this week's problem!
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Problem: If $k$ is any positive integer, determine the radius of convergence for the series $\displaystyle\sum_{n=0}^{\infty}\frac{(n!)^k}{(kn)!}x^n$.
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Remember to read the POTW submission guidelines to find out how to submit your answers!
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Problem: If $k$ is any positive integer, determine the radius of convergence for the series $\displaystyle\sum_{n=0}^{\infty}\frac{(n!)^k}{(kn)!}x^n$.
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Remember to read the POTW submission guidelines to find out how to submit your answers!