Estimate the Limit by Graphing the Function for an Appropriate $\lim _ { x \rightarrow 0 } \frac { 1 } { \sin x } - \frac { 1 } { \sqrt { x } }$

Essay

Estimate the limit by graphing the function for an appropriate domain. Confirm your estimate by using L'Hopital's rule.
Show each step of your calculation.
- $\lim _ { x \rightarrow 0 } \frac { 1 } { \sin x } - \frac { 1 } { \sqrt { x } }$