Find the limit (if it exists): $$\lim _ { \Delta x \rightarrow 0 } \frac { ( x + \Delta x ) ^ { 2 } - 13 ( x + \Delta x ) + 13 - \left( x ^ { 2 } - 13 x + 13 \right) } { \Delta x }$$
A) $\frac { 1 } { 3 } x ^ { 3 } - \frac { 13 } { 2 } x ^ { 2 } + 13 x$
B) $x ^ { 3 } - 13 x ^ { 2 } + 13 x$
C)0
D) $2 x - 13$
E) $x ^ { 2 } - 13 x + 13$

Question

Quizplus · Accepted Answer

The Answer is D

Find the Limit (If It Exists) lim⁡Δx→0(x+Δx)2−13(x+Δx)+13−(x2−13x+13)Δx\lim _ { \Delta x \rightarrow 0 } \frac { ( x + \Delta x ) ^ { 2 } - 13 ( x + \Delta x ) + 13 - \left( x ^ { 2 } - 13 x + 13 \right) } { \Delta x }Δx→0lim​Δx(x+Δx)2−13(x+Δx)+13−(x2−13x+13)​

Find the Limit (If It Exists) $\lim _ { \Delta x \rightarrow 0 } \frac { ( x + \Delta x ) ^ { 2 } - 13 ( x + \Delta x ) + 13 - \left( x ^ { 2 } - 13 x + 13 \right) } { \Delta x }$