Re: Confused with uniform/pointwise convergence

From: José Carlos Santos (jcsantos_at_fc.up.pt)
Date: 07/13/04 

Date: Tue, 13 Jul 2004 10:52:35 +0100

Isaac wrote:

> The text from which I quote is the standard "Mathematical Analysis" by Tom
> Apostol on page 225 at the bottom. I quote: "Note. The conclusion implies
> that, for each x in [a,b], we can write lim integral (from a to x) f_n(t)dt
> = integral (from a to x) lim f_n(t)dt. This property is often described by
> saying that a uniformly convergent sequence can be interated term by term."

Are you sure that you are _quoting_ Apostol? I'd hate think that he
wrote "interated" instead of "integrated". :-)

Best regards,

Jose Carlos Santos

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