Evaluate the Limit limit as x approaches 5 of f(x)

Problem

(lim_x→5)(ƒ(x))

Solution

1. Identify the limit notation, which represents the value that the function ƒ(x) approaches as the input x gets arbitrarily close to 5

2. Evaluate the limit by substituting x=5 into the function, provided that ƒ(x) is continuous at that point.

3. Determine if the left-hand limit (lim_x→5)(ƒ(x)) and the right-hand limit (lim_x→5)(ƒ(x)) are equal to ensure the general limit exists.

Final Answer

(lim_x→5)(ƒ(x))=ƒ(5)

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