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 $\displaystyle n$ is a positive integer, you can write
$\displaystyle (1 + x)^n = (1 +x)(1+x)(1+x)\dots(1+x)$ ($\displaystyle n$ times) which can then be expanded using the Distributive Law.
Does this kind of "finite expansion" have any meaning when $\displaystyle n$ is not a positive integer?