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12-66.

Find the fourth-degree Maclaurin polynomial for f(x) = e−2x . Use it to approximate , and find a bound for the error in this approximation. Then approximate f ′″(0.5). Homework Help ✎

The Maclaurin series for ex is:

Substitute –2x for x to get the polynomial for e–2x.

To bound the error, determine the x5 term in the polynomial and evaluate it for x = 0.5.