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Taylor Polynomial Error Bound

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For which values of $x$ is the error in the approximation of $\sin(x)$ by its second-degree Taylor polynomial centered at $x=0$ guaranteed to be less than 0.01?

A

|x| < 0.3

B

|x| < 0.6

C

|x| < 0.39

D

|x| < 0.22

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