Program to find the sum of a Series 1/1! + 2/2! + 3/3! + 4/4! +.......+ n/n! Last Updated : 16 Feb, 2023 Comments Improve Suggest changes Like Article Like Report You have been given a series 1/1! + 2/2! + 3/3! + 4/4! +.......+ n/n!, find out the sum of the series till nth term.Examples : Input :n = 5 Output : 2.70833 Input :n = 7 Output : 2.71806 A simple solution is to one by one computer terms. For every term, find its corresponding factorial value.An efficient solution is to do factorial computations in same loop. CPP // CPP program to print // the sum of series #include<bits/stdc++.h> using namespace std; // function to calculate // sum of given series double sumOfSeries(double num) { double res = 0, fact = 1; for (int i = 1; i <= num; i++) { // fact variable store // factorial of the i fact = fact * i; res = res + (i / fact); } return(res); } // Driver Code int main() { double n = 5; cout << "Sum: " << sumOfSeries(n); return 0; } Java // Java program to print // the sum of series import java.io.*; import java.lang.*; class GFG { public static double sumOfSeries(double num) { double res = 0, fact = 1; for (int i = 1; i <= num; i++) { // fact variable store // factorial of the i fact = fact * i; res = res + (i / fact); } return(res); } // Driver Code public static void main (String[] args) { double n = 5; System.out.println("Sum: " + sumOfSeries(n)); } } // This code is contributed by // Mohit Gupta_OMG <(0_o)> Python3 # Python code to find smallest K-digit # number divisible by X def sumOfSeries(num): # Computing MAX res = 0 fact = 1 for i in range(1, num+1): fact *= i res = res + (i/ fact) return res n = 5 print("Sum: ", sumOfSeries(n)) # Code contributed by # Mohit Gupta_OMG <(0_o)> C# // C# program to print the sum of series using System; class GFG { public static float sumOfSeries(double num) { float res = 0, fact = 1; for (int i = 1; i <= num; i++) { // fact variable store // factorial of the i fact = fact * i; res = res + (i / fact); } return(res); } // Driver Code public static void Main () { double n = 5; Console.Write("Sum: " + sumOfSeries(n)); } } // This code is contributed by vt_m. PHP <?php // PHP program to print // the sum of series // Function to calculate // sum of given series function sumOfSeries($num) { $res = 0; $fact = 1; for ($i = 1; $i <= $num; $i++) { // fact variable store // factorial of the i $fact = $fact * $i; $res = $res + ($i / $fact); } return ($res); } // Driver Code $n = 5; echo("Sum: " . sumOfSeries($n)); // This code is contributed by Ajit. ?> JavaScript <script> // javascript program to print // the sum of series function sumOfSeries(num) { var res = 0, fact = 1; for (i = 1; i <= num; i++) { // fact variable store // factorial of the i fact = fact * i; res = res + (i / fact); } return(res); } // Driver Code var n = 5; document.write("Sum: " + sumOfSeries(n).toFixed(5)); // This code is contributed by Amit Katiyar </script> Output: Sum: 2.70833 Time Complexity: O(n) Auxiliary Space: O(1), since no extra space has been taken. 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