Prove that a sequence diverges Let $b > 1$. Prove that the sequence $\frac{b^n}{n}$ diverges to $\infty$
I know that I need to show that $\dfrac{b^n}{n} \geq M $, possibly by solving for $n$, but I am not sure how. 
If I multiply  both sides by $n$, you get  $b^n \geq Mn$, but I don't know if that is helpful.

You could use L'Hospital's rule:
$$
\lim_{n\rightarrow\infty}\frac{b^n}{n}=\lim_{n\rightarrow\infty}\frac{b^n\log{b}}{1}=\infty
$$
