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 + _____ _____ __________ ______ _________ _____ _____.
___ __________ ______ ____ __________.
__________ _____ ________ __________ _______.
__________ _________ ____ _________ ____.
_______ ______ __________ __________ ____ _____ _________ ______ ______.
_______ _________ ________ _________ __________ ___ ________.
____ ____ _________ _____ ________ ___ _______ ________ _________.
______ _______ ________ ________ __________ ____ ___ _________ _____ ______ ______ _________.
_____ _______ _________ __________ ________ ________ ___ ___.
______ _________ _________ _____ __________ ___ __________ ___ ____ ________ __________ _____.
______ _______ __________ ______ ______ ____ _____.
__________ __________ __________ _____ _____ ________ ______ ____.
____ _____ ______ ________ ________ ____ _____ ______ ____ _________.
___ ____ _____ _____ ________ ________ ________ __________ ________.
_______ __________ _________ _______ ______ _______.
__________ __________ __________ _________ _____ ___ _________.
_______ _________ _____ _____ ______ ___ _________.
_________ _______ _______ ___ ______ __________ _________ _______ __________ ______ __________.
____ __________ __________ ___ _________ __________ __________ ____.
__________ _____ _____ __________ ___ ________ ______.
___ _______ ___ ____ ___ _____.
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