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## Homework Statement

Find the limit as n--> infinity of (1-2/n)^n

## Homework Equations

We know (1+1/x)^x --> e as n--> infinity

## The Attempt at a Solution

I worked it out as e^(-2) using log but I can't get it out using the fundamental limit above. I know it's the square of (1-1/x)^x (where we let x=n/2), just I don't know how to show that (1-1/x)^x --> 1/e. If you could let x |--> -x somehow I'd get the desired result using the limit laws but I'm not sure that's allowed.