Binomial series for fractional and negative powers

By the end you’ll be able to

• Expand expressions of the form $(1+x)^n$ where $n$ is rational or negative, to a specified number of terms.
• State and use the condition of validity for a binomial series expansion, typically in the form $|x|<1$ after suitable substitution.
• Obtain expansions for expressions reducible to the form $(1+u)^n$.