determine-the-radius-of-convergence-for-the-series-m1m3mmzm-displaystylesumm1inf

Question

Determine the radius of convergence for the series: ﻿∑m=1∞m!(3m)mzm

\displaystyle\sum_{m=1}^{\infty} \frac{m!}{(3m)^m} z^m

m=1∑∞​(3m)mm!​zm﻿

Accepted Answer

3e3e

Answer

13e\frac{1}{3e}

Answer

2e2e

Answer

ee

Determine the radius of convergence for the series: ∑m=1∞m!(3m)mzm \(\displaystyle\]\sum\)_{m=1}^{\(\infty\)} \(\frac{m!}{(3m)^m}\) z^m m=1∑∞(3m)mm!zm