this post was submitted on 02 May 2025
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This one is a bit counterintuitive. My maths teacher explained it like this. Take a look at this graph. If you approach zero from the positive side, it looks like the line goes to infinity. If you approach zero from the negative side, it appears to go to negative infinity instead.
Is it both, is it zero, is it all the values? The canonical answer is “undefined”. The value of y at x=0 doesn’t have a meaningful answer.