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

Problem

(lim_x→8)(cos(x))

Solution

1. Identify the type of function. The function ƒ(x)=cos(x) is a trigonometric function that is continuous for all real numbers.

2. Apply the direct substitution property for limits. Since the function is continuous at x=8 the limit is equal to the value of the function at that point.

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

Final Answer

(lim_x→8)(cos(x))=cos(8)

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