Question

Done in C++ using visual studio

Instructions to solve all three problems below using function

• The value of n should be asked from user in the main() and pass the value of n to an additional function as argument value; Ex: Factorial(n).

• The functions should calculate the values according to the formulas below and return the values.

• Then the main() function should print out those returned values.

• All three parts should have their own separate function, since formulas are different.

a. Write a function to calculate F = n!

b. Write a function to calculate for F whereby n can be equal to any integer and F will be as the following: F = 1/1 + 1/2 + 1/3 + ⋯ + 1/n For example, if n=10, then F = 1/1 + 1/2 + 1/3 + ⋯ + 1/10

c. Write a function to calculate for F whereby n can be equal to any integer and F will be as the following: F = 1/(1!) + 1/(2!) + 1/(3!) + ⋯ + 1/(n!) For example, if n=10, then F = 1/(1!) + 1/(2!) + 1/(3!) + ⋯ + 1/(10!)

Hint: The factorial of a nonnegative integer n is written as n! (Pronounced “n factorial”) and is defined as follows: n! = n*(n-1)*(n-2). …… *1 (for values of n greater than or equal to 1) and n! =1 (for n =0). For example, 5! = 5*4*3*2*1, which is 120.

Answer 1

#include <iostream>

using namespace std;

int factorial(int n) {
    if (n == 0)
        return 1;
    else
        return n * factorial(n-1);
}

int main() {
    int n;
    cout << "Enter a number: ";
    cin >> n;
    cout << "Factorial of " << n << " is " << factorial(n) << endl;
    return 0;
}