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

void main() {
  int n,m, s;
  double p, tow=0.00001 , ty, itm, x , orig, y;

  clrscr();
  printf("give me the maximum item of Tayer polynomial-->"); scanf("%d",&m);
  printf("give me the real number for computing Tayer polymonial -->");
  scanf("%lf",&x);  orig=log(x); printf("ln(%lf)=%lf\n",x,orig);

  n=1; y=x-1; p=0.0; ty=y; itm=y; s=-1;
  while (n <= m) {
    s=-s; p=p+s*itm; ty=ty*y; itm=ty/(n+1); n++;
    if (itm < 0) itm=-itm;
    if (itm < tow) break;
    printf("itm=%lf  tow=%lf  n=%d\n",itm,tow,n); getche();
  }
  if (n > m) printf("method fail!!!\n");
  else printf("simulate n=%d ln(%lf)=%lf\n ",n,x,p);
}