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-   -   binomial exp for non-integer power (http://mymathforum.com/pre-calculus/345422-binomial-exp-non-integer-power.html)

fahad nasir December 6th, 2018 05:14 AM

binomial exp for non-integer power
 
the expansion of (1+x)^n where n is an irrational number. Is this state is true:
(1+x)^n = 1 + nx +1/2 n(n-1) x^2 + ......
i.e is it right that (1+x)^root(3) = 1 + root(3)x + 1/2 root(3) ( root(3)-1)x^2 + .....

idontknow December 6th, 2018 06:44 AM

The state is not true , because it is a non-integer power

mathman December 6th, 2018 01:53 PM

Your approach is fundamentally correct. kth term (starting with k=0) denominator is k!.


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