1. The problem statement, all variables and given/known data
lim [itex]\left( \frac{x}{x+1} \right) ^ {x}[/itex]
x->∞
3. 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.
lim [itex]\left( \frac{x}{x+1} \right) ^ {x}[/itex]
x->∞
3. 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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