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Power Serieshard
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Estimate the error when using the Taylor polynomial P3(x)=1+x+x22+x36P_3(x) = 1 + x + \frac{x^2}{2} + \frac{x^3}{6}P3​(x)=1+x+2x2​+6x3​ to approximate exe^xex on the interval [−1,1][-1, 1][−1,1].