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Unformatted text preview: Iteration CSc 1253: Project # 3 Approximating e Using a Power Series Out: 9/21 Due: 10/10 by 11:50 PM Learning Objectives Using Iteration More on Writing Interactive Programs Definition 1. The number e is irrational; that is, it cannot be expressed as a ratio of integers. Furthermore, it is transcendental; it is not a root of any non-zero polynomial with rational coefficients. The numerical value of e truncated to 20 decimal places is 2.71828182845904523536. The power series expansion of the function f ( x ) = e x is given by the expres- sion: e x = summationdisplay i =0 x i i ! = 1 + x + x 2 2! + x 3 3! + x 4 4! + Approximating e . 1 using the first five terms of this power series gives, e . 1 = 1 + 0 . 1 + . 01 2 + . 001 6 + . 0001 24 = 1 . 10517 The e Approximation Program Write a program consisting of only the main function, called e approximator.cpp . When your program begins, the user is prompted to enter a number x rep- resenting the power to which e is to be raised and a positive integer n repre- senting the number of terms to be used in the approximation. Your program should then compute the power series approximation of...
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This note was uploaded on 06/20/2011 for the course CSC 1253 taught by Professor Staff during the Fall '08 term at LSU.
- Fall '08