# Calculating Limit of Series – An exponential divided by an exponential – Exercise 653

Exercise

Find the limit

$$\lim _ { n \rightarrow \infty} \frac{10^n}{3^{n+\sqrt{n}}}$$

$$\lim _ { n \rightarrow \infty} \frac{10^n}{3^{n+\sqrt{n}}}=\infty$$