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Solved: Binomial seriesa. Find the first four nonzero
Chapter 8, Problem 30E(choose chapter or problem)
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.
\(f(x)=\sqrt{1+x}\); approximate \(\sqrt{1.06}\).
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.
\(f(x)=\sqrt{1+x}\); approximate \(\sqrt{1.06}\).
ANSWER:Solution 30E
Step 1:
(a).We have to find the first four nonzero terms of the taylor series centered at 0 for the function
ie, we have to find the terms of the maclaurin series for
The maclaurin series of a function