C#: Calculate the sum of the series [ 1+x+x^2/2!+x^3/3!+....]

Last update on December 20 2024 12:50:00 (UTC/GMT +8 hours)

Write a program in C# Sharp to display the sum of the series [ 1+x+x^2/2!+x^3/3!+....].

Sample Solution:-

C# Sharp Code:

using System;  // Importing necessary namespace

public class Exercise23  // Declaration of the Exercise23 class
{  
    public static void Main()  // Main method, entry point of the program
    {
        double x, sum, no_row;  // Declaration of variables x, sum, no_row as double
        int i, n;  // Declaration of variables i and n as integer

        Console.Write("\n\n");  // Displaying new lines
        Console.Write("Calculate the sum of the series [ 1+x+x^2/2!+x^3/3!+....]:\n");  // Displaying the purpose of the program
        Console.Write("------------------------------------------------------------");  // Displaying a separator
        Console.Write("\n\n");  	

        Console.Write("Input the value of x :");  // Prompting the user to input the value of x
        x = Convert.ToInt32(Console.ReadLine());  // Reading the value of x entered by the user

        Console.Write("Input number of terms : ");  // Prompting the user to input the number of terms
        n = Convert.ToInt32(Console.ReadLine());  // Reading the number of terms entered by the user

        sum = 1;  // Initializing the sum with 1
        no_row = 1;  // Initializing no_row with 1

        // Loop to calculate the sum of the series
        for (i = 1; i < n; i++)
        {
            no_row = no_row * x / (float)i;  // Calculating each term of the series
            sum = sum + no_row;  // Adding each term to the sum
        }

        // Displaying the result
        Console.Write("\nThe sum is: {0}\nNumber of terms = {1}\nThe value of x = {2}\n", sum, n, x);
    }	
}

Sample Output:

Calculate the sum of the series [ 1+x+x^2/2!+x^3/3!+....]:                                                                                                     
------------------------------------------------------------                                                                                                   
Input the value of x :5                                                                                                         
Input number of terms : 5                                                                                                         
The sum  is : 65.375                                                                                                         
Number of terms = 5                                                                                                         
The value of x = 5

Flowchart:

C# Sharp Code Editor:

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