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# Partitions watch

1. This is probably me being a bit stupid and not noticing why, but I'm really stuck on this partition question from analysis... I understand the technique it's just the values that are correct - I'm not sure why?

defined by

When working out the values, these are the answers...

It's just these values I can't get my head around, I don't understand for example why is -1 instead of 2? I was thinking the infimum of would be -1?

Thanks for any help!

(Apologies for the terrible latex attempt... )
2. (Original post by Blue7195)
It's just these values I can't get my head around, I don't understand for example why is -1 instead of 2?
The subinterval for contains the point x=0, for which f(x)=-1

Can't be sure of the answer for as the details of f(x) are missing for the final subinterval.
3. (Original post by ghostwalker)
The subinterval for contains the point x=0, for which f(x)=-1

Can't be sure of the answer for as the details of f(x) are missing for the final subinterval.

4. (Original post by Blue7195)
OK, then for , f(x) is 1 on the whole subinterval [1/n,1], so the inf is also 1.

All clear now?
5. (Original post by ghostwalker)
OK, then for , f(x) is 1 on the whole subinterval [1/n,1], so the inf is also 1.

All clear now?
Yeah thank you!

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Updated: January 18, 2015
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