Write a program that calculates PI with the expression : (In original picture)

using the factorial function from the Python library as an additional computing tool. Compare the approximation of Pl with the code without the factorial function. 

Answer the following questions:

 (1) What is the value of PI when N=20? 

(2) How many terms of the series are needed to achieve a value of PI approximate to 7 decimal places, that is: 3.1415926

Pi Approximation with a series and factorial functions Escriba un programa que calcule PI con la expresin 2=21i=0N=(2i+1)!(i!)22i+1 utilizando como herramienta adicional de cmputo la funcin factorial de la librera de Python. Comparar la aproximacin de PI con el cdigo sin la funcin factorial. References: (1) math.factorial(x) [https://www.geeksforgeeks.org/factorial-in-python/] (2) sympy.factorial(x) [ Contestar las siguientes preguntas: (1) Cul es el valor de PI cuando N=20 ? (2) Cuantos trminos de la serie se necesitan para lograr un valor de PI aproximado a 7 decimal places, esto es: 3.1415926