Hello,

I'm writing a program to calculate the value of e^x using taylor series expansion as my algorithm( e^x= 1 + x + (x^2)/(2!) + (x^3)/(3!)+......(x^n)/(n!)) . I think I'm going wrong somewhere within the while loop. Can you please help me out?

Thanks

Code:

#include <iostream>
#include <cmath>
#include <iomanip>
int main()
{
double xvalue, factorial, ex, nthterm, factnum, numerator, sumofterms;
double xcount = 1;
numerator = pow(xvalue,factnum);
factorial *= (factnum - xcount);
nthterm = (numerator / factorial);
cout<< "This program will calculate the value\n"
<< "of e^x using the Taylor Series Expansion Method\n"
<< endl;
cout<< "Please enter a value for 'x' for which you need to calculte"
<< endl;
cin>> xvalue;
cout<< endl;
while(nthterm > 10E-6)
{
while(xcount != factnum)
{
factorial *= (factnum - xcount);
factnum++;
}
sumofterms += nthterm;
cout<< "This program will calculate the value\n"
<< "of e^x using the Taylor Series Expansion Method\n"
<< endl;
cout<< "Please enter a value for 'x' for which you need to calculate"
<< endl;
cin>> xvalue;
cout<< endl;
while(nthterm > 10E-6)
{
while(xcount != factnum)
{
factorial *= (factnum - xcount);
factnum++;
}
sumofterms += nthterm;
}
ex = 1+xvalue+sumofterms;
cout<< ex;
cout<< endl;
return 0;
}

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