What is the sum from n=0 to infinity of (1+1/n)^{-n} ?

The sum from n=0 to infinity of (1+1/n)^{-n} is diverges

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sum from n=0 to infinity of (1+1/n)^{-n}

n = 0 \sum \infty (1 + \frac{1}{n})^{- n}

diverges

Solution steps

n = 1 \sum \infty (1 + \frac{1}{n})^{- n}

Apply Series Divergence Test:

diverges

= diverges

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\int a x d x

What is the sum from n=0 to infinity of (1+1/n)^{-n} ?
The sum from n=0 to infinity of (1+1/n)^{-n} is diverges