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Let's find the limit as x approaches pi of sine of x. Pause the video and see if you can figure this out. Well, with both sine of x and cosine of x, they are defined for all real numbers, so their domain is all real numbers. You can

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This leads to the following theorem. Theorem 1.7.1 If a is any number in the natural domain of the corresponding trigonometric function, then limx → asin(x) = sin(a). limx → acos(x) = cos(a). limx → atan(x) = tan(a). limx