Find the one-sided limit.
-$$\lim _ { x \rightarrow3 ^ { - } } \frac { x ^ { 2 } - 9 } { x - 3 }$$
A) 3
B) -6
C) 6
D) -3

Name: Find the one-sided limit. -\[\lim _ { x \rightarrow3 ^ { - } } \frac { x ^ { 2 } - 9 } { x - 3 }\] A) 3 B) -6 C) 6 D) -3
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Question

Find the one-sided limit.
-$$\lim _ { x \rightarrow3  ^ { - } } \frac { x ^ { 2 } - 9 } { x - 3 }$$
A) 3
B) -6
C) 6
D) -3

Quizplus · Accepted Answer

The given limit can be simplified by factoring the numerator as $(x+3)(x-3)$ and then cancelling out the $(x-3)$ term, leaving us with $\lim _ { x \rightarrow 3 ^ { - } } (x + 3)$. Substituting $x = 3$ gives $3 + 3 = 6$.

Find the One-Sided Limit lim⁡x→3−x2−9x−3\lim _ { x \rightarrow3 ^ { - } } \frac { x ^ { 2 } - 9 } { x - 3 }x→3−lim​x−3x2−9​

Find the One-Sided Limit $\lim _ { x \rightarrow3 ^ { - } } \frac { x ^ { 2 } - 9 } { x - 3 }$