InfiniteSeries.java

public class InfiniteSeries
{
    public static void main(String[] args)
    {
        /*
        1 + 2 + 4 + 8 + ... = -1

        This algebraic proof is an analogy to Euler's approach to divergent series.
        See https://en.wikipedia.org/wiki/1_%2B_2_%2B_4_%2B_8_%2B_%E2%8B%AF
         */

        int sum = 0; // The infinite summation

        for(int n = 0; n < Integer.SIZE; n++) // 1 + 2 + 4 + 8 + ...
            sum += 1 << n; // Adds the n-th power of 2

        System.out.println(sum); // Prints -1
    }
}