Intuit // C# // listing_4.11 (break // ryad Teylora..), C#

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//Rextester.Program.Main is the entry point for your code. Don't change it.
//Compiler version 4.0.30319.17929 for Microsoft (R) .NET Framework 4.5

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text.RegularExpressions;

namespace Rextester
{
    public class Program
    {
        public static void Main(string[] args)
        {
            //Your code goes here
            //Console.WriteLine("Hello, world!");
            double e = Math.Pow(10,-6);
            Console.WriteLine(e);
            const int MaxIter = 500; //ограничитель колич операций
            Console.WriteLine("Enter the number of iteratio");
            double x = Convert.ToDouble(Console.ReadLine());
        bool done = true;
            double ch = x, y = ch;
            for (int i=0; Math.Abs(ch)>e; i++)
            {
                ch *= -x * x/(2*i+2)/(2*i+3); //очередной член ряда
                y += ch; //добавим член ряда к сумме
                if (i > MaxIter) {done = false; break;}
            }
            if (done) Console.WriteLine("сумма ряда = " + y );
            else Console.WriteLine("ряд расходится");
            
            Console.WriteLine(e);
            
            
        }
    }
}

Show compiler warnings [ - ] Show input
Compilation time: 0,12 sec, absolute running time: 0,09 sec, cpu time: 0,08 sec, average memory usage: 13 Mb, average nr of threads: 3