Evaluate the Limit

Problem

(lim_x→8)(ln(x)/x)

Solution

1. Identify the type of limit by substituting the value x=8 into the expression.

2. Evaluate the numerator by substituting 8 for x in the natural logarithm function, which gives ln(8)

3. Evaluate the denominator by substituting 8 for x which gives 8

4. Combine the results to find the limit, as the function is continuous at x=8

Final Answer

(lim_x→8)(ln(x)/x)=ln(8)/8

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