What is the sum from n=0 to infinity of (n!)/n ?

The sum from n=0 to infinity of (n!)/n is diverges

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sum from n=0 to infinity of (n!)/n

n = 0 \sum \infty \frac{n !}{n}

diverges

Solution steps

n = 1 \sum \infty \frac{n !}{n}

Apply Series Ratio Test:

diverges

= diverges

n = 0 \sum \infty \frac{2 n}{n ^{3}}

n = 1 \sum \infty \frac{5 ^{n}}{n ^{2}}

n = 4 \sum \infty \frac{3}{n ^{2} - n}

k = 1 \sum \infty \frac{6 k ^{5}}{k !}

m = 2 \sum \infty \frac{2}{3 ^{m}}

What is the sum from n=0 to infinity of (n!)/n ?
The sum from n=0 to infinity of (n!)/n is diverges