Estimate the limit numerically. $\lim _ { x \rightarrow 3 } \frac { x ^ { 2 } - 9 } { x - 3 }$
A)-3
B) -6
C) diverges to $+ \infty$
D) 3
E) 6

Name: Estimate the limit numerically. $\lim _ { x \rightarrow 3 } \frac { x ^ { 2 } - 9 } { x - 3 }$ A)-3 B) -6 C) diverges to $+ \infty$ D) 3 E) 6
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Question

Estimate the limit numerically.   $\lim _ { x \rightarrow 3 } \frac { x ^ { 2 } - 9 } { x - 3 }$  
A)-3
B) -6
C) diverges to $+ \infty$
D) 3
E) 6

Quizplus · Accepted Answer

The expression simplifies to $\frac{x^2 - 9}{x - 3} = \frac{(x + 3)(x - 3)}{x - 3} = x + 3$ when $x \neq 3$. As $x$ approaches 3, the expression approaches $3 + 3 = 6$.

Estimate the Limit Numerically lim⁡x→3x2−9x−3\lim _ { x \rightarrow 3 } \frac { x ^ { 2 } - 9 } { x - 3 }limx→3​x−3x2−9​

Estimate the Limit Numerically $\lim _ { x \rightarrow 3 } \frac { x ^ { 2 } - 9 } { x - 3 }$