Calculating Limit of Function – A polynomial to the power of a rational function – Exercise 371

Exercise

Evaluate the following limit:

$$\lim _ { x \rightarrow 0} { ( 1 - 3 x ) }^\frac {1}{x}$$

$$\lim _ { x \rightarrow 0} { ( 1 - 3 x ) }^\frac {1}{x} = e^{-3}$$