Hello. Correct my code. Write a program to approximate the derivatives of e x , cos(x) and sin(x) at x = 0 using the limits. #include #include #define E 2.718 int main(void) {       FILE* fout = fopen("derivativeout.txt", "w");       int n, i;    float h, der1, der2, der3;       fprintf(fout, "h Dexp(x) Dcos(x) Dsin(x)\n");    fprintf(fout, "--------------------------------------\n");       printf("Enter n for h = 1/2 down to 1/2^n: ");    scanf("%d", &n);       for(i=1; i<=n; i++) {        h = 1.0/pow(2.0, n);        der1 = (exp(h)-1.0)/h;        der2 = (cos(h)-1.0)/h;        der3 = (sin(h))/h;        fprintf(fout, "%f %f %f %f\n", h, der1, der1, der3);    }       fclose(fout);    return 0; }

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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Hello. Correct my code.

Write a program to approximate the derivatives of e x , cos(x) and sin(x) at x = 0 using the limits.

#include<stdio.h>
#include<math.h>
#define E 2.718

int main(void) {
  
   FILE* fout = fopen("derivativeout.txt", "w");
  
   int n, i;
   float h, der1, der2, der3;
  
   fprintf(fout, "h Dexp(x) Dcos(x) Dsin(x)\n");
   fprintf(fout, "--------------------------------------\n");
  
   printf("Enter n for h = 1/2 down to 1/2^n: ");
   scanf("%d", &n);
  
   for(i=1; i<=n; i++) {
       h = 1.0/pow(2.0, n);
       der1 = (exp(h)-1.0)/h;
       der2 = (cos(h)-1.0)/h;
       der3 = (sin(h))/h;
       fprintf(fout, "%f %f %f %f\n", h, der1, der1, der3);
   }
  
   fclose(fout);
   return 0;
}

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