Question

Could somebody please help explain if it would be a nonexistent or existent limit? Please answer with a simple and understandable reason to why it would be a nonexistent or existent limit.

Answer 1

Answer: D

Explanation:

For the limit as x approaches 2 from the left side, you see the point is at y=6.

For the limit as x approaches 2 from the right side, you see the point is at y=-2.

Since 6≠-2, the limit as x approaches 2 does not exist, or is nonexistent.