Runtime exception, recursion too deep

Question

I converted the pseudo-code here into C#, and have it recursively repeat 10,000 times. But I get a C# runtime error, StackOverflow Exception after 9217

Answer 1

This woudl be the non recursive variant:

        private double CalculatePi(int maxRecursion)
    {
        return 2 * CalculatePi2(maxRecursion, 1);
    }

    private double CalculatePi2(int maxRecursion, int i)
    {
        double product = 1;
        while (i < maxRecursion)
        {
            product = product * (1f + i / (2.0f * i + 1f));
            i++;
        }
        return product;
    }