12.1 Exercise 57

Use a graphing utility to find numerical or graphical evidence to determine the left and right-hand limits of the function given as $x$ approaches $a .$ If the function has a limit as $x$ approaches $a ,$ state it. If not, discuss why there is no limit.

$\underset{x \rightarrow 0}{\lim} \frac{5}{1 - e^{\frac{2}{x}}}$