Binomial Expansion Formula

This expression is an expansion of the binomial expression , where the right-hand side represents the binomial expansion of the series for .
Each coefficient corresponds to the binomial coefficient in the expansion. As we expand , the result includes terms like:
- The first term is simply .
- The second term is , which is , and so on.
The general term in this expansion is , where are binomial coefficients.
This expansion allows us to approximate the behavior of for small values of .