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Second-Degree Taylor Polynomial For Sine
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Which of the following is the second-degree Taylor polynomial for $$\sin(x)$$ about $$x=0$$?

A

The second-degree Taylor polynomial is undefined since the second derivative of $$\sin(x)$$ at 0 is zero.

B

$$x - \frac{x^2}{2} + \frac{x^3}{6}$$

C

$$x$$

D

$$x - \frac{x^3}{6}$$

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