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- Thread starter Jack
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- Thread starter
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- Jan 26, 2012

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Please do not copy and paste text with non-standard characters, not everybodies system will render them correctly, learn to use the LaTeX supported here on MHB and on most other maths boards.Suppose {f_n} is a sequence of functions that converges almost everywhere to a function f

and define F_n = sup_k=1,...n |f_n| .

Show that if the integrals of F_n remain bounded as n goes to infinity,

then lim_n ∫〖f_n dm〗 = ∫〖f dm〗.

By default avoid non-ASCII characters.

CB

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