How to construct a program that will be able to excute this

How to construct a program that will be able to excute this function e^x = 1+ x + x^2/2! + x^3/3! + x^4/4! + ....... On c++. The ! means factorial. http://people.math.sc.edu/girardi/m142/handouts/10sTaylorPolySeries.pdf

Solution

Solution:

#include <iostream>
using namespace std;

double factorial(double num) //this function calculates the factorial of number
{          
double fact;  
fact=1.00;
while(num>0)
{
fact=fact*num;
num=num-1;
}
return (fact);

}

double pow(double a, double b) // this function calculates the power of number
  
{
double power;
power=a;
double n;
n=1;
while(n<b)
{
   power=power*a;
n=n+1;
}
return power;
}

int main()

{
   double ex,x;
   double power;
   double n;
   cout<<\"Please enter the value of x: \";
   cin>>x;
   cout<<\"Enter the number of terms that u want to calculate this formula to(number of terms=power): \";
   cin>>power;
   n=1;
   ex=1;
   while(n<=power)
   {
       ex=ex+(pow(x,n)/factorial(n));
       n=n+1;
   }

   cout<<\"Output is: \"<<ex<<\'\ \';
   return 0;
}