What is $\lim_{n \to \infty} (1 - (1/n)^y)^n $?

Question

I'm trying to evaluate the following. Say $y \in \mathbb{R}$ is given,

$\lim_{n \to \infty} (1 - (1/n)^y)^n $

I tried:

Only found some similarity with the formula for $e^{-1}$. That is,

$\lim_{n \to \infty} (1 - (1/n))^n = e^{-1}$