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limits - Can anything equal DNE? - Mathematics Stack Exchange I've come across several references where a person has shown a limit equal to DNE Something like $\\lim_{x\\to 0}\\frac{1}{x}=DNE$ Is it ever reasonable to say that something is equal to something
Which is correct: negative infinity or does not exist? I don't think DNE is unambiguously wrong, as there's no standard definition for what it means In many calculus classes, a limit is said not to exist if there is no real limit, and positive negative infinite limits are a subset of these
Difference between undefined and does not exist What is the difference between the terms "undefined" and "does not exist", especially in the context of differential calculus? Most calculus materials state, for example, that $\frac {d} {dx} {|x|}
Relation between efq, DS, DNE, LEM - Mathematics Stack Exchange DNE LEM DS efq LEM + DS DNE But then, this means that LEM DNE, without any "explicit" need of efq, which refutes a convincing negative stance that DNE requires LEM + efq, leading to obvious confusion Question: I am not at all experienced in logic, and my proofs might be erroneous
What exactly does it mean that a limit is indeterminate like in 0 0? The above picture is the full background to it It does not invoke "indeterminate forms" It does not require you to write $\frac {0} {0}$ and then ponder what that might mean We don't divide by zero anywhere It is just the case where $\lim_ {x\to a}g (x)=0$ is out of scope of the above theorem However, it is very common, in mathematical education, to talk about "indeterminate forms