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Analysis is easy

Name: Anonymous 2009-01-03 6:35

Let S = { \frac{x-2}{x+3} \mid x \in \Re, x \geq 0 }

Prove that Sup(S) = 1 and Inf(S) = -\frac{2}{3}

It's easy to see it's true but how to prove it fairly rigorously?

Name: Anonymous 2009-01-05 0:38

>>10
I found this interesting.
http://en.wikipedia.org/wiki/Basel_problem

The sum of the series 1/n^3 is unknown.

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