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Let f: [a,b] -> R. Given f is integrable and bounded below, show 1/f is integrable.

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- Thread starter shegiggles
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- #1

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Let f: [a,b] -> R. Given f is integrable and bounded below, show 1/f is integrable.

- #2

StatusX

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It's not true. What about f(x)=x on [0,1]?

- #3

arildno

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Well, perhaps he meant that 0<|f|<k, on [0,1] for some constant k?

- #4

matt grime

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Erm, arildno, you should reread that. (k=1...).

- #5

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Erm, arildno, you should reread that. (k=1...).

can you please help me with this problem?

Thanks

- #6

matt grime

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We can't because we have shown the question to be false.

- #7

HallsofIvy

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