Develop a program using spyder and python basic functions that compares each of the approximations that are calculated with the corresponding value calculated with the library function (exp ()) for a given value of x. You must continue adding terms until the difference between the approximation and the value of the library function is less than 0.0001. The output must include each of the approximations that are obtained. It should also be sent to write the number of terms that are taken up achieve convergence according to the previously established criterion (minor difference 0.0001).The program must send the output (as shown below) in an external file. You have to program the factorial calculation, !do not use the math library function.!!!!!! Run the program twice: for x = 1 and x = 2

The following equation provides an approximation for the value of eX 0 4. 0! 1 2! 3 4! Develop a python program that compares each of the approximations that are calculated with the corresponding value calculated with the library function (exp (O) for a given value of x. You must continue adding terms until the difference between the approximation and the value of the library function is less than 0.0001. The output must include each of the approximations that are obtained. It should also be sent to write the number of terms that are taken up achieve convergence according to the previously established criterion (minor difference 0.0001) The program must send the output (as shown below) in an external file. You have to program the factorial calculation, do not use the math library function. Run the program twice: for x-1 and x-2