Now expand using the Binomial Series.
How do you find the binomial expansion of 1/sqrt(1-x) in series form?
I know what the term by term expansion is but i'm trying to find the series representation,
The closest i have found involved double factorials and i'm sure there's an easier representation,
I've been trying to use the binomial theorem but i get fractional factorials which just give ∞.
Is there some formula that i haven't been able to find to apply to this?
Now expand using the Binomial Series.
but alpha = -1/2
using the binomial coefficient formula don't you get
(-1/2)!/k!(-1/2-k)!
the term by term part works, but to find it in terms of the sum is not going so well for me
what do you mean by solve it?
you pretty much put -1/2 = alpha into that forumla,
when I was first trying to do it, I was trying to find a way to do it without having to write it in that form, (a+b)(a+2b)....(a+nb) (just an example of what i was trying to avoid, the ... product), I was hoping to have it in terms of factorials or something,