Lesson 12

from sympy import series
from sympy.abc import x

print(series(1 + x))
print(series((1 + x) ** 2))
print(series((1 + x) ** -1))
print(series((1 + x) ** -2))
print(series((1 - 3 * x) ** -1))

x + 1
x**2 + 2*x + 1
1 - x + x**2 - x**3 + x**4 - x**5 + O(x**6)
1 - 2*x + 3*x**2 - 4*x**3 + 5*x**4 - 6*x**5 + O(x**6)
1 + 3*x + 9*x**2 + 27*x**3 + 81*x**4 + 243*x**5 + O(x**6)