# Calculating Limit of Series – A quotient of polynomials and exponential – Exercise 5551

Exercise

Find the limit

$$\lim _ { n \rightarrow \infty} \frac{n^2+3^n}{3^{n+1}+7n^2}$$

$$\lim _ { n \rightarrow \infty} \frac{n^2+3^n}{3^{n+1}+7n^2}=\frac{1}{3}$$