Hello. I'm revising the material in preparation for the exam, and I found something I fail at understanding. When defining binomial series, http://en.wikipedia.org/wiki/Binomial_series, why is the sum of the binomial "(m k)" going from 1 to ∞? Shouldn't it instead be going from 1 to m (the function can only be differentiated m times)? Afterall, binomial series are a form of taylor series, and a taylor series of a function can't have infinite terms when the function can only be differentiated a finite amount of times.