I suspect that $$\lim_{x \to \infty} \frac{1000^x}{x^x} = 0.$$ However, I do not know how to prove that this is the case. Any help would be greatly appreciated.
Help in evaluating $\lim_{x \rightarrow \infty} \frac{1000^x}{x^x} = 0$
5
$\begingroup$
calculus
limits