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.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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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.
Transcribed Image Text: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.
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