Evaluate the Limit ( limit as x approaches 8 of 1)/x

Problem

(lim_x→8)(1/x)

Solution

1. Identify the type of limit by checking if the function is continuous at the target value.

2. Observe that the function ƒ(x)=1/x is a rational function that is defined for all x≠0

3. Apply the direct substitution property because the function is continuous at x=8

4. Substitute the value x=8 into the expression to find the limit.

Final Answer

(lim_x→8)(1/x)=1/8

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