f is continuous and Show that the supremum of f(x) on [a,b] equals sup f(x) = lim{n->infinity} (1/(b-a) * int[(f(x))^n])^1/n The integral is from a to b Latex Attempt:
Last edited by KZA459; February 28th 2009 at 09:26 AM.
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This? It's continuous or not explicit?
oops and yeah the hypothesis might help eh? f is cts and sorry! yep, this
It's curious 'cause if is continuous then using MVT for integrals you know there exists such as . So or not? But if is an increasing function the premise fails :S
Well I got to that step, but I can't see how that relates to the supremum.
Originally Posted by KZA459 Well I got to that step, but I can't see how that relates to the supremum. Also, all continuous function is enclosed in a closed interval -><-
Originally Posted by KZA459 f is continuous and Show that the supremum of f(x) on [a,b] equals sup f(x) = lim{n->infinity} (1/(b-a) * int[(f(x))^n])^1/n The integral is from a to b Latex Attempt: Look here.
ah thanks a lot!
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