Hi!!
I'm very confused about limits.. Can someone please correct my working out? Because I'm very sure that I'm wrong, but I don't know what to do. Thank you
It's easier to see the result if you make the substitution $\displaystyle k=\frac{y}{n}$ where $\displaystyle k \to 0$ when $\displaystyle n \to \infty$
$\displaystyle \lim_{k \to 0}(1+k)^{-y/k}=\lim_{k \to 0}e^{ln{(1+k)^{-y/k}}}=\lim_{k \to 0}e^{-y \cdot \frac{ln(1+k)}{k}}=e^{-y}$