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Math Help - Binomial Series

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    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
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    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?
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    Quote Originally Posted by acc100jt View Post
    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!
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