Find the Limit (If It Exists) $$\lim _ { x \rightarrow 0 } \frac { \frac { 4 } { x + 4 } - 1 } { x }$$

Short Answer

Find the limit (if it exists). Use a graphing utility to verify your result graphically.
​ $$\lim _ { x \rightarrow 0 } \frac { \frac { 4 } { x + 4 } - 1 } { x }$$