#include<conio.h>
#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int user_power,i=0,cnt=0,flag=0;
int coef[10]={0};
float x1=0,t=0;
float x2=0;

void main()
{

    clrscr();

    printf("\n\n\t\t\t PROGRAM FOR SUCESSIVE APPROXIMATION");

    printf("\n\tINTIAL X1---->");
    scanf("%f",&x2);


/*************************************************************************/

    printf("\n ******************************************************");
    printf("\n ITERATION    X1    FX1      ");
    printf("\n **********************************************************");

    do
    {
            cnt++;
            x1=x2;
            x2=(2-(log10(x1)));
            printf("\n %d         %.3f  %.3f ",cnt,x1,x2);

    }while((fabs(x2 - x1))>=0.0001);
    printf("\n\t THE ROOT OF EQUATION IS %f",x1);
    getch();
}

/*******************************OUTPUT**********************************/




             PROGRAM FOR SUCESSIVE APPROXIMATION

    INTIAL X1---->10

 ********************************
 ITERATION    X1     FX1
 ********************************
 1         10.000  1.000
 2         1.000   2.000
 3         2.000   1.699
 4         1.699   1.770
 5         1.770   1.752
 6         1.752   1.756
 7         1.756   1.755
 8         1.755   1.756
 9         1.756   1.756
 ********************************

     THE ROOT OF EQUATION IS 1.755633