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Maximum error Use the remainder term to estimate the
Chapter 7, Problem 55E(choose chapter or problem)
QUESTION:
Maximum error Use the remainder term to estimate the maximum error in the following approximations on the given interval. Error bounds are not unique.
\(e^{x} \approx 1+x+x^{2} / 2 ;\left[-\frac{1}{2}, \frac{1}{2}\right]\)
Questions & Answers
QUESTION:
Maximum error Use the remainder term to estimate the maximum error in the following approximations on the given interval. Error bounds are not unique.
\(e^{x} \approx 1+x+x^{2} / 2 ;\left[-\frac{1}{2}, \frac{1}{2}\right]\)
ANSWER:Solution 55E
Step 1:
Given that
ex ≈ 1 + x + x2/2;