Chapter 5.6, Problem 50E

(a)

To determine

To calculate: By direct substitution, the type of the indeterminate form for $\underset{x\to 0}{\lim }{\left(x\right)}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$x$}\right.}$.

(b)

To determine

To calculate: The limit $\underset{x\to 0}{\lim }{\left(x\right)}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$x$}\right.}$, using L’ Hopitals Rule if necessary.

(c)

To determine

To graph: The provided function $\underset{x\to 0}{\lim }{\left(x\right)}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$x$}\right.}$, using graphing utility and verify the result in part (b).