This article is from solution of Let Us C by Yashwant Kanetkar. I also posted many another articles regarding solutions of Let Us C. If you have any problem regarding solution then give comment, I will surely reply your question.
Q. The natural logarithm can be approximated by the following series.
Ans.
#include<stdio.h>
#include<conio.h>
#include<math.h>
void main()
{
clrscr();
float x, ans=0, f_ans=0, s_ans;
int n;
printf("enter the value of x ");
scanf("%f",&x);
for(n=1;n<=7;n++)
{
if(n==1)
{
ans=pow(((x-1)/x),n);
}
else
{
s_ans=pow(((x-1)/x),n);
ans=s_ans/2;
}
f_ans=f_ans+ans;
}
printf("Sum of first seven terms is %f",f_ans);
getch();
}