Use the graph to determine $\lim _ { x \rightarrow 0 } \frac { x ^ { 2 } - 3 x } { x }$ (if it exists).
A) 0
B) 3
C) -3
D) limit does not exist
E) 6

Question

Use the graph to determine $\lim _ { x \rightarrow 0 } \frac { x ^ { 2 } - 3 x } { x }$ (if it exists). 
A) 0 
B) 3 
C) -3 
D) limit does not exist 
E) 6

Quizplus · Accepted Answer

As x approaches 0 from the left, the function approaches -3. As x approaches 0 from the right, the function approaches 3. Since the left and right limits don't match, the limit does not exist. Therefore, the correct answer is (D).

Use the Graph to Determine lim⁡x→0x2−3xx\lim _ { x \rightarrow 0 } \frac { x ^ { 2 } - 3 x } { x }limx→0​xx2−3x​

Use the Graph to Determine $\lim _ { x \rightarrow 0 } \frac { x ^ { 2 } - 3 x } { x }$