My Math Forum binomial exp for non-integer power

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 December 6th, 2018, 05:14 AM #1 Member   Joined: Oct 2012 Posts: 78 Thanks: 0 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 06:13 AM.
 December 6th, 2018, 06:44 AM #2 Senior Member   Joined: Dec 2015 From: somewhere Posts: 599 Thanks: 87 The state is not true , because it is a non-integer power
 December 6th, 2018, 01:53 PM #3 Global Moderator   Joined: May 2007 Posts: 6,806 Thanks: 716 Your approach is fundamentally correct. kth term (starting with k=0) denominator is k!. Thanks from fahad nasir

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