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RSimmons
Posts:
20
From:
UK
Registered:
1/23/09


Mean value theorem
Posted:
Aug 5, 2011 8:44 AM


Some hint to prove:
(x + 1)^(1/2)  x^(1/2) = (1/2).[x + h(x)]^(1/2), for all x >= 0
where 1/4 <= h(x) <= 1/2. This results from mean value theorem for f(t) = t^(1/2) but the interval is not clear.
With thanks, RSimmons



