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polynomial of degree n as follows: 1 Here is a sample run: x = 0.900000 n = 5 2 1 2 x + 4 In(1+x)≈x- +…+(−1)n+Dr” n This is called a power series approximation. Write a program to check the accuracy of this formula. Your program must prompt the user for the value of x (where [x] < 1) and the degree, n, of the polynomial to use. Your program should then write the values of x, n, the approximation, the actual value and the percent relative error to the output file powerseriesout.txt. + 1 approximate value = 0.692073 actual value = 0.641854 relative error = 7.824064 percent For marking purposes use r = 0.9 and n = 40. 5

polynomial of degree n as follows: 1 Here is a sample run: x = 0.900000 n = 5 2 1 2 x + 4 In(1+x)≈x- +…+(−1)n+Dr” n This is called a power series approximation. Write a program to check the accuracy of this formula. Your program must prompt the user for the value of x (where [x] < 1) and the degree, n, of the polynomial to use. Your program should then write the values of x, n, the approximation, the actual value and the percent relative error to the output file powerseriesout.txt. + 1 approximate value = 0.692073 actual value = 0.641854 relative error = 7.824064 percent For marking purposes use r = 0.9 and n = 40. 5

Database System Concepts
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
Section: Chapter Questions
Problem 1PE
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Plz solve the question using c programming without using the library # include stdlib.h. or string.h .. Only use # include stdio.h and # include math.h And printf, scanf, fout, fin.
4. In your Calculus course you will learn that the function ln(1 + x) can be approximated by a polynomial of degree n as follows: 1 ≈x-x+ 2 Here is a sample run: x = 0.900000 n=5 2 1 3 3 approximate value = 0.692073 actual value = 0.641854 relative error = 7.824064 percent 1 pea 4 In(1+x)=x- This is called a power series approximation. Write a program to check the accuracy of this formula. Your program must prompt the user for the value of x (where [x] < 1) and the degree, n, of the polynomial to use. Your program should then write the values of x, n, the approximation, the actual value and the percent relative error to the output file powerseriesout.txt. + + For marking purposes use x = 0.9 and n = 40. ... + (−1)(¹+¹)x” /n
Transcribed Image Text:4. In your Calculus course you will learn that the function ln(1 + x) can be approximated by a polynomial of degree n as follows: 1 ≈x-x+ 2 Here is a sample run: x = 0.900000 n=5 2 1 3 3 approximate value = 0.692073 actual value = 0.641854 relative error = 7.824064 percent 1 pea 4 In(1+x)=x- This is called a power series approximation. Write a program to check the accuracy of this formula. Your program must prompt the user for the value of x (where [x] < 1) and the degree, n, of the polynomial to use. Your program should then write the values of x, n, the approximation, the actual value and the percent relative error to the output file powerseriesout.txt. + + For marking purposes use x = 0.9 and n = 40. ... + (−1)(¹+¹)x” /n
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