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

question 48

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

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