Use graphs and tables to find the limit and identify any vertical asymptotes.
-$$\lim _ { x \rightarrow 9 ^ { - } } \frac { x } { x - 9 }$$
A) 9 ; no vertical asymptotes
B) $x ; x = 9$
C) $- \infty ; x = - 9$
D) $- \infty ; x = 9$

Question

Quizplus · Accepted Answer

The limit as $x$ approaches 9 from the left is $-\infty$ because the denominator approaches 0, making the fraction negative and increasingly large in magnitude. There is a vertical asymptote at $x = 9$, where the denominator equals 0 and the function is undefined.

Use Graphs and Tables to Find the Limit and Identify lim⁡x→9−xx−9\lim _ { x \rightarrow 9 ^ { - } } \frac { x } { x - 9 }x→9−lim​x−9x​

Use Graphs and Tables to Find the Limit and Identify $\lim _ { x \rightarrow 9 ^ { - } } \frac { x } { x - 9 }$