The function ln(1+x) is to be approximated by the first three terms of its Maclaurin series, i.e. ln(1+x) = x - x2/2 + x3/3. Estimate the maximum value of x for which the approximation agrees with the exact value to 3 decimal places.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
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The function ln(1+x) is to be approximated by the first three terms of its Maclaurin series, i.e. ln(1+x) = x - x2/2 + x3/3. Estimate the maximum value of x for which the approximation agrees with the exact value to 3 decimal places.

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