# Calculating Limit of Function – A multiplication of exponential functions – Exercise 535

### Exercise

Evaluate the following limit:

$$\lim _ { x \rightarrow \infty} 2 e^{-x} ( e^x +1 )$$

$$\lim _ { x \rightarrow \infty} 2 e^{-x} ( e^x +1 ) = 2$$