# Calculating Limit of Function – A quotient of polynomials to the power of a polynomial – Exercise 5850

### Exercise

Evaluate the following limit:

$$\lim _ { x \rightarrow \infty} {(\frac{5x^2+6}{5x^2+7})}^{15x^2+1}$$

$$\lim _ { x \rightarrow \infty} {(\frac{5x^2+6}{5x^2+7})}^{15x^2+1}=e^{-3}$$