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December 6th, 2018, 06:14 AM  #1 
Member Joined: Oct 2012 Posts: 70 Thanks: 0  binomial exp for noninteger 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(n1) 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. 
December 6th, 2018, 07:44 AM  #2 
Senior Member Joined: Dec 2015 From: Earth Posts: 276 Thanks: 32 
The state is not true , because it is a noninteger power

December 6th, 2018, 02:53 PM  #3 
Global Moderator Joined: May 2007 Posts: 6,642 Thanks: 626 
Your approach is fundamentally correct. kth term (starting with k=0) denominator is k!.


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binomial, exp, integer, noninteger, pow, power 
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