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

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

## C For Loop: Exercise-23 with Solution

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

Sample Solution:

C Code:

``````#include <stdio.h> // Include the standard input/output header file.

int main() {
float x, sum, no_row; // Declare variables to store input and intermediate results.

int i, n; // Declare loop control variables.

printf("Input the value of x :"); // Prompt the user for input.
scanf("%f", &x); // Read the value of 'x' from the user.

printf("Input number of terms : "); // Prompt the user for input.
scanf("%d", &n); // Read the value of 'n' from the user.

sum = 1; // Initialize 'sum' to 1 as the first term in the series.

no_row = 1; // Initialize 'no_row' to 1 for the first term calculation.

for (i = 1; i < n; i++) // Loop to calculate subsequent terms in the series.
{
no_row = no_row * x / (float)i; // Calculate the next term using the given formula.
sum = sum + no_row; // Add the term to the running sum.
}

printf("\nThe sum is : %f\n", sum); // Print the final sum.

return 0; // Return 0 to indicate successful execution.
}

```
```

Sample Output:

```Input the value of x :3
Input number of terms : 5

The sum  is : 16.375000
```

Flowchart: C Programming Code Editor:

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