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Binomial seriesa. Find the first four nonzero
Chapter 8, Problem 32E(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.
\(f(x)=(1+x)^{-3}\); approximate \(1 / 1.331=1 / 1.1^{3}\).
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.
\(f(x)=(1+x)^{-3}\); approximate \(1 / 1.331=1 / 1.1^{3}\).
ANSWER:Solution 32EStep 1:Given thatf(x) = (1 + x)3: approximate 1/1.331 = l/l.l3.