Evaluate the Limit limit as x approaches -3 of f(x)

Problem

(lim_x→−3)(ƒ(x))

Solution

1. Identify the limit notation, which represents the value that the function ƒ(x) approaches as the input x gets closer and closer to −3 from both the left and the right sides.

2. Evaluate the limit by substituting x=−3 into the function ƒ(x) provided that ƒ(x) is continuous at that point.

3. Determine if the left-hand limit (lim_x→−3)(ƒ(x)) and the right-hand limit (lim_x→−3)(ƒ(x)) are equal to each other.

4. Conclude that if the one-sided limits are equal to a finite value L then the limit exists and is equal to L

Final Answer

(lim_x→−3)(ƒ(x))=ƒ*(−3)

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