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

Iterative version:

public static double CalculatePi(int maxRecursion)
{
    double result=1;
    for(int i=maxRecursion-1;i>=1;i--)
    {
        result=1+i/(2.0*i+1)*result;  
    }
    return result*2;
}