When we talk about supremum/infinum/etc, does it mean the largest/smallest number on the x axis or y axis??(adsbygoogle = window.adsbygoogle || []).push({});

Ok so first my professor was explaining how when x^2 < 2 , the supremum is root of 2 (so he was talking about how the domain has a least upper bound).

But then he said that when we look at 1/n, where n is 1,2,3,... , the infinum is 0...so in this case i guess he meant that the range is bounded from below (since 1/n approaches 0 as n->infinity)...but if you look at the domain, the infinum is actually a minimum and equals 1...

help me clear up this ambiguity?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Supremum/infinum/max/min concerns x axis or y axis?

**Physics Forums | Science Articles, Homework Help, Discussion**