4.1: Binomial Expansion - Expanding (1+x)^n

Question 1

What is the formula for a binomial expansion that can be applied to negative or fractional values of n to obtain an infinite series?

Answer 1

(1+x)^n = 1 + nx + n(n-1) / 2! x^2 + n(n-1)(n-2) / 3! x^3