def series_sum(x, n): """ Computes the sum of the series s=x-x3/3!+x5/5!-x**7/7!+... up to n terms for a given value of x

Args:
x (float): the value of x
n (int): the number of terms in the series to sum

Returns:
sum (float): the sum of the series up to n terms
"""
sum = 0
sign = 1
factorial = 1
for i in range(1, 2*n+1, 2):
    sum += sign * (x**i / factorial)
    sign *= -1
    factorial *= (i+1) * (i+2)
return sum

example usage

x = 2 n = 5 print(series_sum(x, n)) # should output 1.1472222222222223