Thread: Binomial Series

Why do you think that a finite degree polynomial is insufficient to represent the expansion of (1+x)^n, where n is not a positive integer?

Can anyone pls enlighten me? Thank you

When is a positive integer, you can write

( times) which can then be expanded using the Distributive Law.


Does this kind of "finite expansion" have any meaning when is not a positive integer?

Originally Posted by acc100jt

Why do you think that a finite degree polynomial is insufficient to represent the expansion of (1+x)^n, where n is not a positive integer?

Can anyone pls enlighten me? Thank you

Because , where n is not a postive integer is NOT a polynomial and so cannot be set equal to one!