Evaluate the Limit limit as x approaches 2 of g(x)

Problem

(lim_x→2)(g(x))

Solution

1. Identify the limit notation which represents the value that the function g(x) approaches as the input x gets closer and closer to 2

2. Determine the value of the limit based on the definition of g(x) If g(x) is continuous at x=2 the limit is simply g(2)

3. Evaluate the limit by substituting x=2 into the expression for g(x) provided the function is defined and continuous at that point.

Final Answer

(lim_x→2)(g(x))=g(2)

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