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C++ Program to find the sum of a Series 1/1! + 2/2! + 3/3! + 4/4! +…….+ n/n!

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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

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 Function*/
int main()
{
    double n = 5;
    cout << "Sum: " << sumOfSeries(n);
    return 0;
}


Output:

Sum: 2.70833

Time Complexity : O(n), where n is the number
Auxiliary Space : O(1) 

Please refer complete article on Program to find the sum of a Series 1/1! + 2/2! + 3/3! + 4/4! +…….+ n/n! for more details!


Last Updated : 17 Jan, 2023
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