Calculus 2, Lec 28A: Error in Taylor Polynomial Approximation to e^x

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What is the error in using a Taylor polynomial (truncated Taylor series) to approximate e^(x)? We use the Lagrange Error Bound and estimate the error over the interval [-0.1,0.1] when the Taylor polynomial has degree 3 (a cubic). This is important for the AP Calculus BC exam.

Calculus 2, Lecture 28A

#Calculus2 #apcalculusbc #TaylorsTheorem #TaylorTheorem #TaylorSeries

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