On 7/26/10 10:18 AM, Julien Martin wrote:
> If from a mathematical point of view, the binomial series yields the
> same result as the taylor expansion around zero, then taylor suits me
> fine. Can someone please confirm this is the one and same thing?
Well, to me binomial series is (1+x)^n, expanded out. A general Taylor
expansion about zero is much more than that, so maybe the answer is no,
they're not the same.
But certainly a taylor expansion of (1+x)^n would give the binomial
series, since power series are unique and both the taylor series and the
binomial series converge to the same function over a suitable domain.
Ray