Supremum and infimum of specific sets

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The discussion revolves around determining the supremum and infimum of various mathematical sets defined by specific formulas. The participant successfully established that the supremum of set A is infinity by showing that values can be generated that exceed any finite bound. For set E, it was concluded that the supremum is 1 and the infimum is 0, while for set D, the supremum was identified as approximately 0.6666. The conversation also touched on the importance of rigor in proofs, particularly for finite and infinite sets, and included discussions on convergence and limits for set C. Overall, the thread emphasizes the need for careful analysis and mathematical justification in determining supremum and infimum values.
  • #61
Bunny-chan said:
The values indeed get more and more close to zero.
Right.
 
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  • #62
haruspex said:
Right.
Thank you for this loooong aid!
 

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