Evaluate limit of $\lim_{x \to \infty}\frac{x^x}{\left(x+2\right)^x}$ $\lim_{x \to \infty}\dfrac{x^x}{\left(x+2\right)^x}$
I tried using Taylor and L'H and wasn't able to land on an answer.
Any help would be appreciated!

HINT: write $$\frac{1}{\left(\left(1+\frac{2}{x}\right)^{2x}\right)^{1/2}}$$
