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Topic: Mean value theorem
Replies: 3   Last Post: Aug 6, 2011 7:43 AM

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Posts: 20
From: UK
Registered: 1/23/09
Mean value theorem
Posted: Aug 5, 2011 8:44 AM
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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,

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