3. Write a program that calculates exp(x) using the Taylor series approximation exp_approx = 1 + x + x^2 / 2! + x^3 / 3! + .. where x and error are input from the keyboard and a sufficient number of series terms are used such that abs( exp_approx - exp(x) ) < error. Hint: Use *= in a loop to calculate x^i and i! and print them out to the screen to verify that your loop is correct before calculating the series approximation.

3. Write a program that calculates exp(x) using the Taylor series approximation exp_approx = 1 + x + x^2 / 2! + x^3 / 3! + .. where x and error are input from the keyboard and a sufficient number of series terms are used such that abs( exp_approx - exp(x) ) < error. Hint: Use *= in a loop to calculate x^i and i! and print them out to the screen to verify that your loop is correct before calculating the series approximation.

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter5: Control Structures Ii (repetition)

Section: Chapter Questions

Problem 40SA

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