(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

In the following case decide, whether the set S has a supremum or an infimum.

2. Relevant equations

S= {1+(-1)^n times (1/n), n is part of the natural numbers \ {0}}

3. The attempt at a solution

I first started to form the set S but substituting in numbers for n,

so i came up with the set, { 1, 0, 3/2, 2/3 ...}

So i thought that the infimum would be 1, as that is the largest lower bound. Im not sure what the supremum is though.

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# Homework Help: Supremums and infimums

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