Binomial Expansion

Below are formulas for binomial expansion. Binomial expansion is very useful in math and can be applied to many real life situations.

For positive integers n ()

Another useful binomial expansion is:

for

This binomial expansion converges for |x| < 1

Note that if |x| >  then  x > 1 or x < -1. For example: 5 to the power of infinity tends to infinity as follows.