Last minute revision [resolved]

[Acidic]

could someone please expand this for me:
(a+x)^n

if n is a +ve integer, then I can use pascals triangle, but quite often it is a fration. in which case the binomial expand to infinity, but how do you find, for example, the first four numbers of:
(1+x)^1/3

I think it is something like:
1/0! + 1+x^1/3/1! + (x-1)x^1/3/1!2! + (x-1)(x-2)x^1/3/1!2!3!

am I correct? I have a maths exam tommorrow, I want to pass the damn thing.

[azteched]

(1+x)^1/3 = 1 + (1/3)x + (1/3)(-2/3)(x^2)/2! + (1/3)(-2/3)(-5/3)(x^3)/3! + ...

keep taking one off the power, increase the x power, and increase the factorial on the bottom.

[Acidic]

right, thank you.