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

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

## C# Sharp For Loop: Exercise-23 with Solution

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: