Evaluate the Limit limit as x approaches 8 of 8cos(x)

Problem

(lim_x→8)(8)*cos(x)

Solution

1. Identify the type of function. The function ƒ(x)=8*cos(x) is a trigonometric function multiplied by a constant.

2. Check for continuity. Trigonometric functions like cos(x) are continuous for all real numbers in their domain.

3. Apply the direct substitution property for limits. Since the function is continuous at x=8 the limit is found by evaluating the function at that point.

4. Substitute the value x=8 into the expression.

Final Answer

(lim_x→8)(8)*cos(x)=8*cos(8)

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