Hang on, I can barely read this, are you asking to prove that the supremum of is 0 if x > 0?

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- March 27th 2013, 01:00 AM #1

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## question in sup

i need to prove that

sup

i succeded proving that 1 is an upper bound of

now i need to prove that 1 is the lowest upper bound. i tried to assume that there's another number (let called ), that is also an upper bound of but is lower than 1.

but i don't really know how to go forward..

what can i do? i'm so suck in proving things...

- March 27th 2013, 01:02 AM #2

- March 27th 2013, 01:06 AM #3

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- March 27th 2013, 04:56 AM #4

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- March 27th 2013, 05:21 AM #5

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- March 27th 2013, 05:35 AM #6

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- March 27th 2013, 06:32 AM #7

- March 27th 2013, 06:48 AM #8

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- March 27th 2013, 07:13 AM #9

- March 27th 2013, 08:20 AM #10

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- March 27th 2013, 03:19 PM #11