Find the Limit (If It Exists) $$\lim _ { \Delta x \rightarrow 0 } \frac { ( x + \Delta x ) ^ { 2 } - 9 ( x + \Delta x ) + 2 - \left( x ^ { 2 } - 9 x + 2 \right) } { \Delta x }$$

Multiple Choice

Find the limit (if it exists) . $$\lim _ { \Delta x \rightarrow 0 } \frac { ( x + \Delta x ) ^ { 2 } - 9 ( x + \Delta x ) + 2 - \left( x ^ { 2 } - 9 x + 2 \right) } { \Delta x }$$

A) $\frac { 1 } { 3 } x ^ { 3 } - \frac { 9 } { 2 } x ^ { 2 } + 2 x$
B) $2 x - 9$
C) $x ^ { 3 } - 9 x ^ { 2 } + 2 x$
D) $x ^ { 2 } - 9 x + 2$
E) does not exist