Evaluate the Limit

Problem

(lim_x→8)(ln(x))

Solution

1. Identify the function and the point of evaluation. The function is ƒ(x)=ln(x) and the limit is as x approaches 8

2. Determine continuity of the function. The natural logarithm function ln(x) is continuous for all x>0

3. Apply direct substitution because 8 is within the domain of the function.

4. Evaluate the expression by substituting x=8 into the function.

Final Answer

(lim_x→8)(ln(x))=ln(8)

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