I am wondering how to prove $$\lim\_{x\to \infty} \frac{e^x}{x^n}=\infty$$

I was thinking of using L'Hospital's rule? But then not sure how to do the summation for doing L'Hospital's rule n times on the denominator? Or whether it would be easier using longs like $\lim\_{x\to \infty} \ln(e^x)-\ln(x^n)$?

Thank you!