CB.Calc.LIM-8.C: Determine the error bound associated with a Taylor polynomial approximation.

Determine the error bound associated with a Taylor polynomial approximation.

Example Problems

Estimating

\sin(-0.2)

using a Maclaurin polynomial, what is the least degree of the polynomial that assures an error smaller than

0.001

?

Estimating

e^{3.2}

using a Taylor polynomial about

x = 3

, what is the least degree of the polynomial that assures an error smaller than

0.001

?

Estimating

e^{-0.4}

using a Maclaurin polynomial, what is the least degree of the polynomial that assures an error smaller than

0.001

?

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