Answer: Small argument approximations Consider the

Chapter 7, Problem 72E

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QUESTION:

Small argument approximations Consider the following common approximations when x is near zero.

a. Estimate f(0.1) and give the maximum error in the approximation.

b. Estimate f(0.2) and give the maximum error in the approximation.

\(f(x)=\tan ^{-1} x \approx x\)

Questions & Answers

QUESTION:

Small argument approximations Consider the following common approximations when x is near zero.

a. Estimate f(0.1) and give the maximum error in the approximation.

b. Estimate f(0.2) and give the maximum error in the approximation.

\(f(x)=\tan ^{-1} x \approx x\)

ANSWER:

Solution 72EStep 1:Given

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