Здравствуйте!
///Python 3.8.2
import math
print('Введите N: ')
N=int(input())
print('Введите x: ')
x=int(input())
factorial=1
sum_factorial=0
z=-1
xs=1
for i in range (1, 2*N+1):
factorial=factorial*i
xs=xs*x
if i%2==1:
z=-z
sum_factorial=sum_factorial+z*(xs/factorial)
print("Сумма факториалов =", sum_factorial, "=", math.sin(x))