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Binomial seriesa. Find the first four nonzero terms of the
Chapter 8, Problem 29E(choose chapter or problem)
QUESTION:
Binomial series
a. Find the first four nonzero terms of the Taylor series centered at 0 for the given function.
b. Use the first four terms of the series to approximate the given quantity.
\(f(x)=(1+x)^{-2}\); approximate \(1 / 1.21=1 / 1.1^{2}\).
Questions & Answers
QUESTION:
Binomial series
a. Find the first four nonzero terms of the Taylor series centered at 0 for the given function.
b. Use the first four terms of the series to approximate the given quantity.
\(f(x)=(1+x)^{-2}\); approximate \(1 / 1.21=1 / 1.1^{2}\).
ANSWER:Solution 29EStep 1:(a).We have to find the first four nonzero terms of the taylor series centered at 0 for the functionIe we have t