Evaluate the Limit limit as x approaches 0 of cos(x)

Problem

(lim_x→0)(cos(x))

Solution

1. Identify the function ƒ(x)=cos(x) and the value c=0 that x is approaching.

2. Check for continuity of the function at the given point. The function cos(x) is a trigonometric function that is continuous for all real numbers.

3. Apply direct substitution because the function is continuous at x=0

4. Evaluate the resulting value cos(0)

Final Answer

(lim_x→0)(cos(x))=1

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