Question

The series for ex can be written as:

 

equation
Calculate the truncation error when the first four terms of the series are used to evaluate e1.5.

19 Jan 2026
Answer :
Word Count : 206
The series for (e^x) is [ e^x = 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!} + \frac{x^4}{4!} + \dots ] We are asked to calculate the truncation error when the first four terms are used, i.e., [ S_3 = 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!}. ] The truncation error (R_4) ____ __________ ____ _______ __________ ________ ____ ____.
___ _________ ______ ______ ______.
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________ ______ ____ ______ ____ ____ ___ ______ ______ __________.
______ _____ ________ __________ ________ _______ _____ ______ _______ ____.
_______ _________ _____ __________ _____ _____.
_________ _________ ______ ________ _______ _______ __________.
_______ ___ ________ _________ __________ _____ _______ ____ __________ _______ ___ ______.
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