Mathc initiation/Fichiers c : c56a2

Sommaire

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	c01e.c

/* ------------------------------------ */
/*  Save as :   c01e.c                  */
/* ------------------------------------ */
#include "x_hfile.h"
#include       "fa.h"
/* ------------------------------------ */
int main(void)
{
double Lfax2 = fax2(10000);
double Lfbx  =  fbx(100000000);
double Lfc   =   fc(10000);

 clrscrn();
 printf(" The curve y = ax**2 + bx + c     (a!=0)       \n\n\n" 
        " is a branch of the curve of f at +oo if     \n\n\n\n" 
        "                 lim    f(x)                       \n" 
        "                 x->+oo ----  = a                  \n" 
        "                        x**2                   \n\n\n" 
        "                 lim    [f(x)-ax**2]               \n" 
        "          and    x->+oo ---------   = b            \n" 
        "                            x                  \n\n\n" 
        "                 lim    [f(x)-ax**2-bx] = c        \n" 
        "          and    x->+oo                        \n\n\n"); 
 stop();

 
 clrscrn(); 
 printf(" f : x-> %s\n\n\n", feq);
 printf("             lim    f(x)            \n");
 printf("         a = x->+oo ----      = %.8f\n",    Lfax2); 
 printf("                     x**2         \n\n\n");

 printf("         b = lim   [f(x)-a*x**2] = %.8f\n", Lfbx); 
 printf("             x->+oo           \n\n\n");
 
 
 printf("         c = lim   [f(x)-ax**2-bx] = %.8f\n", Lfc); 
 printf("             x->+oo           \n\n\n");


 printf(" The curve y = %.1f x**2 %+.1f x %+.1f",
         Lfax2, Lfbx, Lfc);
 printf(" is an asymptote at the curve of f at +oo \n\n\n"); 
              
 stop();

 return 0;
}
/* --------------------------------- */
/* --------------------------------- */

Compute a Branch of a function 01

 Fichier de commande gnuplot :

# ---------------------
# Copy and past this file into the screen of gnuplot
#
#
set zeroaxis lt 3 lw 1
 plot [-3.:3.] [-1.:10.]\
         x**4/(x**2-1.),\
          x**2+1  
 reset
# ---------------------

Exemple de sortie écran :

 The curve y = ax**2 + bx + c     (a!=0)       


 is a branch of the curve of f at +oo if     



                 lim    f(x)                       
                 x->+oo ----  = a                  
                        x**2                   


                 lim    [f(x)-ax**2]               
          and    x->+oo ---------   = b            
                            x                  


                 lim    [f(x)-ax**2-bx] = c        
          and    x->+oo                        


 Press return to continue. 


************************


 f : x-> x**4/(x**2-1.)


             lim    f(x)            
         a = x->+oo ----      = 1.00000001
                     x**2         


         b = lim   [f(x)-a*x**2] = 0.00000000
             x->+oo           


         c = lim   [f(x)-ax**2-bx] = 1.00000001
             x->+oo           


 The curve y = 1.0 x**2 +0.0 x +1.0 is an asymptote at the curve of f at +oo 


 Press return to continue.