/* atk i - harjoitus 5 tehtävä 3 */

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

main()
{
    double x, s, y, delta;
    int n;

    printf("Lasken exp(x):n pot. sarjakehitelman n:teen\n"
           "asteeseen saakka. Anna n ja x:");

    scanf("%d%lf", &n, &x);

    s = exps(n, x);
    y = exp(x);
    delta = y - s;

    printf("exps(x) = %.25f\n", s);
    printf("exp(x)  = %.25f\n", y);
    printf("delta   = %e\n", delta);

}

double exps(int n, double x)
{
    int i;
    double s = 1, t = 1;

    for (i = 1; i <= n; i++)
    {
        t *= x / i;
        s += t;
    }

    return s;
}