What is the sum from n=1 to infinity of (n!)/(n!) ?

The sum from n=1 to infinity of (n!)/(n!) is diverges

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sum from n=1 to infinity of (n!)/(n!)

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

diverges

Solution steps

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

Simplify

= n = 1 \sum \infty 1

Every infinite sum of a non-zero constant diverges

= diverges

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What is the sum from n=1 to infinity of (n!)/(n!) ?
The sum from n=1 to infinity of (n!)/(n!) is diverges