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December 6th, 2018, 06:14 AM   #1
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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 + .....

Last edited by fahad nasir; December 6th, 2018 at 07:13 AM.
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December 6th, 2018, 07:44 AM   #2
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The state is not true , because it is a non-integer power
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December 6th, 2018, 02:53 PM   #3
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Your approach is fundamentally correct. kth term (starting with k=0) denominator is k!.
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