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(Solved): Use the remainder term to estimate the maximum error in the following approximation on the given in ...
Use the remainder term to estimate the maximum error in the following approximation on the given interval. \[ e^{x} \approx 1+x+\frac{x^{2}}{2} ;\left[-\frac{1}{2}, \frac{1}{2}\right] \] needed.) A. The maximum error is approximately for \( \mathrm{M}=\frac{1}{e} \). B. The maximum error is approximately for \( M=2 \). C. The maximum error is approximately for \( M=1 \). D. The maximum error is approximately for \( M=\frac{1}{2} \).
Expert Answer
The bound of error by Remainder Estimation Theorem is giv