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Find the 12th-Degree Taylor Polynomial For xsin(x2)x \sin \left(x^{2}\right) Centered at X = 0

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Find the 12th-degree Taylor polynomial for xsin(x2)x \sin \left(x^{2}\right) centered at x = 0.Suppose you use the first two non-zero terms of the series to approximate xsin(x2)x \sin \left(x^{2}\right) for 0 < x < 1.Is the magnitude of the error always less than 0.011?


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