I can't seem to figure out how this sequence converges to a value.

$\displaystyle \lim_{n\to\infty}\frac{4^{n+2}}{5^n}$

I tried simplifying it to this:

$\displaystyle \lim_{n\to\infty}\frac{(16)4^{n}}{5^n}=$

$\displaystyle 16\lim_{n\to\infty}(\frac{4}{5})^n$

But i dont know if that helps it still seems like it diverges, but it doesn't.