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AP Calculus AB/Unit 1: Limits and Continuity
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Special Trigonometric Limit Property

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Which of the following functions approaches 22 as x→0x \to 0, consistent with the limit property lim⁡x→0sin⁡(2x)x=2\lim_{x\to0} \frac{\sin(2x)}{x} = 2?

A

sin⁡(x)2∗(x)\frac{\sin(x)}{2*(x)}

B

sin⁡(2∗(x))2∗(x)\frac{\sin(2*(x))}{2*(x)}

C

sin⁡(2∗(x))x\frac{\sin(2*(x))}{x}

D

sin⁡(2∗(x))x+1\frac{\sin(2*(x))}{x+1}

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