Solution Found!
Small argument approximations Consider the
Chapter 7, Problem 73E(choose chapter or problem)
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.