USE PYTHON

Approximation with a series and factorial functions

Write a program that calculates PI with the

expression t 1 2 2 N=00 (il)22i+1 (2i + 1)! using the factorial function from the Python library as an additional computing tool. Compare the PI

approximation with the code without the factorial function. References: (1) math. factorial(x)

[https://www.geeksforgeeks.org/factorial-in-python/

(2) sympy.factorial() 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=2O ? (2) Cuantos trminos de la serie se necesitan para lograr un valor de Pl aproximado a 7 decimal places, esto es: 3.1415926