Introduction to Programming CS1325 Assignment #7-Series Convergence Assignment #7-Series Convergence For this program, let's calculate the Taylor series expansion for the exponential function: e The equation we will implement is: i=0 This summation will converge to e after some number of terms have been added to the whole. The number of terms will vary depending on the value of x. Note that every term in the summation is positive, so the summation will converge to the actual value from below. "x" is assumed to be>0. In general, if we wish to test two floating point numbers for equality, we can calculate the absolute value of the difference between the numbers and then determine if that difference is less than some epsilon value. Let's apply that technique to this problem. We'll test the growing sum against the standard e* value (as calculated by the exp (x) function) until the difference between the two becomes less than epsilon (to be defined shortly). At that point we'll consider that the series has converged on the correct value. In addition, we'll track the number of terms that must be added to the sum to achieve convergence and report that value to the user Functions Your program should contain at least two functions: main() a)standard main function 1) 2) usigned long factorial (int n) a)This function will calculate n! and return the result as an unsigned long Since we know that all factorials in this problem are positive, there is no need to return a signed value. If you want to include the calculation of the series in a separate function as well, that would be okay