Use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range of values of for

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Use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range of values of for which the given approximation is accurate to within the stated error. Check your answer graphically.
a. sin x ( x - x3/6 (| error | < 0.01)
b. arctan x ( x - x3/3 + x5/5 (| error | < 0.05)
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