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

Problem

(lim_x→0)(sin(x))

Solution

1. Identify the function and the point of evaluation, which is ƒ(x)=sin(x) as x approaches 0

2. Determine if the function is continuous at the target point. The sine function is continuous for all real numbers.

3. Apply the direct substitution property for limits of continuous functions.

4. Evaluate the trigonometric value at the point.

Final Answer

(lim_x→0)(sin(x))=0

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