Calculating Limit of Function – One-sided limit to a quotient of functions as x approaches zero – Exercise 6048

Exercise

Evaluate the following limit:

$$\lim _ { x \rightarrow 0^-} \frac {1} {1+e^{\frac{1}{x}}}$$

$$\lim _ { x \rightarrow 0^-} \frac {1} {1+e^{\frac{1}{x}}}=1$$