/* Lab 7 assignment: do-while and for loops to calculate the sum of a series
for loop implementation
---------------------------------------------
********** YOUR NAME**************
February 8, 2006
Lab 7 for solution
Lab instructor: Patrick Schmid
Lab section: 10 & 11
Purpose: Calculate the value of exp(x) using the Taylor Series expansion.
         Allow the user to specify the number of terms in the Taylor Series and x.

Algorithm: 
Taylor Series expansion of exp(x) using i terms:
	     exp(x) = 1 + x + (x^2) / 2! + ... + (x^i) / i!

1) We calculate one term per loop and add it to the sum of all terms (expX).
   Increment n by 1 at the end of each loop.
2) The 1st term is always 1. We can therefore start the loop with the 
   2nd term (n=1). We can store the value 1 in expX and factorial 
3) term = x^n / n!
   x^n is easy to calculate: pow(x, n)
4) factorial is harder to calculate
   5! = 5 * 4 * 3 * 2 * 1 or 5! = 1 * 2 * 3 * 4 * 5
   As we are incrementing n by 1 each time through the loop (starting at n=1),
   we can build the factorial using the 2nd expression from left to right.
   Therefore, store the value of the factorial in a variable and multiply
   it at the beginning of each loop by n.
*/


#include <iostream.h>
#include <math.h>

void main() {
	//declare variables

	//get input

	//echo print

	//set initial values

	//loop
	for ( ) {
		
		//multiply stored factorial with next number

		//calculate next term in Taylor series expansion

	} 

	//output results
}