#include<stdio.h>
#include<conio.h>
#include<math.h>
int main()
{
int i,a;
float sum,act,term,x;
printf("Enter the value of x : ");
scanf("%f", &x);
a=2;
term=(x-1)/x;
sum=term;
for(i=1;i<=6;i++)
{
act=pow(term,a)/2;//series according to the book.
//act=pow(term,a)/a; //actual natural log series.
sum=sum+act;
a++;
}
printf("%f is the sum of the series.\n", sum);
getch();
return 0;
}
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Chapter - 4: The Loop Control Structure
he natural logarithm can be approximated by the following series. (x - 1)/x + 1/2((x - 1)/2)^2 + 1/2((x-1)/2)^3 + ... If x is input through the keyboard, write a program to calculate the sum of first seven terms of this series.
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