Small argument approximations Consider the

Chapter 7, Problem 73E

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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.

\(f(x)=\sqrt{1+x} \approx 1+x / 2\)

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.

\(f(x)=\sqrt{1+x} \approx 1+x / 2\)

ANSWER:

Solution 73E

Step 1:

Given that

 The following common approximations when x is near zero.

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