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## Homework Statement

[itex]lim_{x -> \infty} \left( \frac{x}{x+1} \right) ^ {x}[/itex]

## The Attempt at a Solution

So I did e^whole statement with ln(x/(x+1))*x, after that I multiplied that expression by 1/x/1/x, then I go ln(x/(x+1)/1/x, I tried taking derivative of top and bottom but it doesn't help with finding an answer.

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