Clifland

2020-11-05

Use ana appropriate test to determine whether the series converges.

$\sum _{k=1}^{\mathrm{\infty}}(\frac{k!}{{20}^{k}{k}^{k}})$

Tasneem Almond

Skilled2020-11-06Added 91 answers

Given, the series is

We have to check whether the series is convergent or divergent.

Use Ratio test,

If

Test fail when

Hence the series is convergent by Ratio test.

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