How do you use the binomial series to expand #f(x) = (1+x^3)^(-1/2)#?
It is in the form (a+b)^n where
#a = 1, b = x^3, n = -(1/2).
The difference here is that the sum on the right doesn't have just n+1 terms, but infinitely many. This is called an infinite series.
In the binomial expansion formula for
The answer is
The binomial series is