Solution Found!
The first three Taylor polynomials for centered at 0 are ,
Chapter 7, Problem 3E(choose chapter or problem)
QUESTION:
The first three Taylor polynomials for \(f(x)=\sqrt{1+x}\) centered at 0 are \(p_{0}=1, p_{1}=1+\frac{x}{2}\), and \(p_{2}=1+\frac{x}{2}-\frac{x^{2}}{8}\). Find three approximations to \(\sqrt{1.1}\).
Questions & Answers
QUESTION:
The first three Taylor polynomials for \(f(x)=\sqrt{1+x}\) centered at 0 are \(p_{0}=1, p_{1}=1+\frac{x}{2}\), and \(p_{2}=1+\frac{x}{2}-\frac{x^{2}}{8}\). Find three approximations to \(\sqrt{1.1}\).
ANSWER:Solution 3E
Step 1:
The first three Taylor polynomials for centered at 0 are
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