Maximum error Use the remainder term to estimate the

Chapter 7, Problem 55E

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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;

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