how can i prevent the cod from stop an what is the problem?

I'm trying to translate this series into a cod that give me the sum of it. here is the series: X + (-1/3)X^3 + (1/5)X^5 + (-1/7)X^7 + …. +((-1)^(n-1)/2n-1)X^(2n-1)

that's the cod (by the way I can't use cmath library..):

#include <iostream>
using namespace std;

int main()
{
    cout << "enter 2 numbers: \n";
    int x, n; // x - the base. n - the number of the series organs.
    cin >> x;
    do 
    { 
        cin >> n;
        if (n <= 0) cout << "ERROR \n";
    } while (n <= 0);
    int i{ 1 }; // index for the first organ, and so on.
    int denom{ 2 * i - 1 }; // the denominator and the power in the equation.
    int factor; // the factor for X.
    int xValue{ x }; // the X value after the power.
    int sum{ 0 }; // the sum of the series.
    int an; // General organ in the series.
    for (; i <= n; ++i)
    {
        if ((i - 1) % 2 == 0) // == positive cardinal case.
        {
            factor = (1 / denom);
            for (; i <= denom;)
            {
                xValue *= xValue;
            }
            an = factor * xValue;
            sum += an;
            xValue = x;
        }
        else  // == negetive cardinal case.
        {
            factor = (-1 / denom);
            for (; i <= denom;)
            {
                xValue *= xValue;
            }
            an = factor * xValue;
            sum += an;
            xValue = x;
        }
    }
    cout << sum;
} 

why the cod don't show me the sum? thank you all very much!!