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What is the limit of (1-1/n)^n?

Lazarus
in Analysis and Calculus

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What is the limit of (1-1/n)^n?

 

For (1+1/n)^n it is e, about 2.7 but I can't find the negative result.

What is the limit of (1-1/n)^n?

 

For (1+1/n)^n it is e, about 2.7 but I can't find the negative result.

1/e

 

The limit of (1+x/n)^n is e^x for all complex x.

You need to tell us what limit. Anyway if we consider n-> 0 then we get 1. If n-> infinity then we get 1/e. (Maybe you can prove this yourself now you know the answer)

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