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: D
Step-by-step 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.