Power Serieseasy
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Using the first four terms of the Maclaurin series for exe^x, approximate e0.5e^{0.5} to two decimal places: e0.51+0.5+(0.5)22!+(0.5)33!e^{0.5} \approx 1 + 0.5 + \frac{(0.5)^2}{2!} + \frac{(0.5)^3}{3!}