IGNOU MPH 14 2026 - The series for ex can be written as: Calculate the

Question

The series for e^x can be written as:

$$e^x = 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!} + \dots$
Calculate the truncation error when the first four terms of the series are used to evaluate e^1.5.

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) is

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

IGNOU ACADEMY

Your IGNOU journey, made easier.