4346 Use the Remainder Estimation Theorem to find an intervalcontaining x = 0 over which

Chapter 9, Problem 45

(choose chapter or problem)

Use the Remainder Estimation Theorem to find an interval containing \(x = 0\) over which \(f(x)\) can be approximated by \(p(x)\) to three decimal-place accuracy throughout the interval. Check your answer by graphing \(|f(x)-p(x)|\) over the interval you obtained.

                               \(f(x)=\frac{1}{1+x^{2}} ; p(x)=1-x^{2}+x^{4}\)

 

Equation Transcription:

Text Transcription:

x

x = 0

f(x)

p(x)

|f(x) − p(x)|

f(x)=1/1+x^2; p(x)=1-x^2+x^4

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