# Math Help - Binomial Series

1. ## 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

2. When $n$ is a positive integer, you can write

$(1 + x)^n = (1 +x)(1+x)(1+x)\dots(1+x)$ ( $n$ times) which can then be expanded using the Distributive Law.

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

3. 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 $(1+ x)^n$, where n is not a postive integer is NOT a polynomial and so cannot be set equal to one!