#include <iostream>
#include <cmath>
#include <iomanip>
using namespace std;

long long fakultaet(long long x){
    if(x < 0){
        //Fehler
        return -1;
    }
    if(x == 0 || x == 1){
        return 1;
    }
    long long erg = 2;
    for(long long i = 3; i <= x; i++)
    {
        erg *= i;
    }
    return erg;    
}

long double ehoch(long double x){
    long double erg = 0;
    long long counter = 0;
    long double epsilon = 0.00001;
    long double next = pow(x,counter) / fakultaet(counter);
    counter++;
    while(epsilon < abs(next) && counter < 100){
        erg += next;
        next = pow(x,counter) / fakultaet(counter);
        counter++;
    }
    return erg;
}

int main() {
    for (double x = 0; x < 10; x++)
	  cout << x << ": " << setprecision(10) << ehoch(x) << " <-> " << exp(x) << endl;

	return 0;
}