Evaluate the Limit limit as x approaches -1 of f(x)

Problem

(lim_x→−1)(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 −1 from both the left and the right sides.

2. Evaluate the limit by substituting x=−1 into the function ƒ(x) provided that ƒ(x) is continuous at that point.

3. Check for indeterminate forms such as 0/0 or ∞/∞ if the function is a fraction; if such forms occur, apply algebraic simplification or L'Hôpital's Rule.

4. Determine the final value based on the behavior of the specific function ƒ(x) provided in the context of the problem.

Final Answer

(lim_x→−1)(ƒ(x))=ƒ*(−1)

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