Ejemplo029.c

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#include <stdio.h>
 
double exp1(double x, int n);
double exp3(double x, int n);
double exp4(double x, int n);
double exp5(double x, int n);
double potencia(double x, int n);
long int factorial(int n);
double potencia2(double x, int n);
long int factorial2(int n);
double fct(double x, int n);
 
int main(int argc, char *argv[])
{
    double x, ex, ex2, ex3, ex4;
    int n;
    printf("Ingrese el valor de x: ");
    scanf("%lf", &x);
    do{
        printf("Ingrese le numero de terminos: ");
        scanf("%d", &n);
    }while(n<1);
    ex = exp1(x, n);
    ex2 = exp3(x, n);
    ex3 = exp4(x, n);
    ex4 = exp5(x, n);
    printf("exp(%lf) = %lf\n", x, ex);
    printf("exp(%lf) = %lf\n", x, ex2);
    printf("exp(%lf) = %lf\n", x, ex3);
    printf("exp(%lf) = %lf\n", x, ex4);
    return 0;
}
 
double fct(double x, int n)
{
    if(n!=1)
        return fct(x, n-1)*(x/n);
    else
        return x;
}
 
double exp5(double x, int n)
{
    if(n)
        return exp5(x, n-1)+fct(x, n);
    else
        return 1;
}
 
double exp3(double x, int n)
{
    int i;
    double ex, fct;
    for(i=0, ex=0, fct=1; i<n; i++)
    {
        ex += fct;
        fct *= x/(i+1);
    }
    return ex;
}
 
double exp1(double x, int n)
{
    int i;
    double ex;
    for(i=0, ex=0; i<n; i++)
        ex += potencia(x, i)/factorial(i);
    return ex;
}
 
double potencia(double x, int n)
{
    int i;
    double xn;
    for(i=0, xn=1; i<n; i++)
        xn *= x;
    return xn;
}
 
long int factorial(int n)
{
    int i;
    long int fn;
    for(i=0, fn=1; i<n; i++)
        fn *= (i+1);
    return fn;
}
 
double exp4(double x, int n)
{
    if(n>0)
        return exp4(x, n-1)+potencia2(x,n)/factorial2(n);
    else
        return 1;
}
 
double potencia2(double x, int n)
{
    if(n>0)
        return potencia2(x, n-1)*x;
    else
        return 1;
}
 
long int factorial2(int n)
{
    if(n>0)
        return factorial2(n-1)*n;
    else
        return 1;
}