LAB3

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace ConsoleApplication6
{
    class Program
    {
        static double SN (double x)
        {
            double s = 0, el = 1;
            for (int i = 1; i < 41; i++)
            {
                el *= -(x + 1) * (x + 1) / i;
                s += el;
            }
            return s;
        }
        static double SE (double x, double y, double eps)
        {
            double el = 1, s = 0;
            int i = 1;
            do
            {
                el *= (-(x + 1) * (x + 1)) / i;
                //el = Math.Pow(-1, i)*Math.Pow(x + 1, 2 * i) / i;
                i++;
                //Console.Write(s + " " + y);
                //Console.WriteLine();
                s += el;
            } while (Math.Abs(el) > eps);
            return s;
        }
        static void Main(string[] args)
        {
            double step = (-2 + 0.1) / 10;
            double x = -0.1;
            double y;
            double eps = 0.0001;
            for (int i = 1; i < 11; i++)
            {
                y = Math.Log(1 / (x * x + 2 * x + 2), Math.E);
                Console.WriteLine("SN = {0:0.000000000} SE = {1:0.000000000} x = {2:0.00}, y = {3:0.000000000}", SN(x), SE(x, y, eps), x, y);
                x += step;
            }
        }
    }
}