Solution Found!
Small argument approximations Consider the
Chapter 7, Problem 74E(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.
\(f(x)=\ln (1+x) \approx x-x^{2} / 2\)
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.
\(f(x)=\ln (1+x) \approx x-x^{2} / 2\)
ANSWER:Solution 74E
Step 1:
Given that
The following common approximations when x is near zero.
f(x) = ln(l + x)≈ x − x2/2