The first two nonzero terms of the Maclaurin series for are

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

The first two nonzero terms of the Maclaurin series for e2xe^{2x} are 1+2x1+2x. Use these terms to estimate e0.4e^{0.4} and compute the absolute error of your estimate, given that e0.4≈1.4918e^{0.4}\approx1.4918.

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