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An inflection point where the second derivative doesnt exist? A point of inflection exists where the concavity changes Where the derivative is increasing the graph is concave up; where the derivative is decreasing the graph is concave down Concavity may change where the second derivative is 0 or undefined You said that the graph must be continuous I'm not sure that's true, but if it is then this still works The graph can be continuous even if the
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
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|}
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
I have learned that 1 0 is infinity, why isnt it minus infinity? My brother was teaching me the basics of mathematics and we had some confusion about the positive and negative behavior of Zero After reading a few post on this we came to know that it depends on
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
The difference between indeterminate and undefined operation. Yes, He told me that $\infty - \infty $ is both undefined and indeterminate, but he said that $\infty+\infty$ is simply undefined but it is not indeterminate Your answer will improve my understanding of the concept I just need a more formal one