Nov 3, 2024 · DNE $\implies$ LEM $\implies$ DS $\iff$ efq LEM + DS $\implies$ DNE But then, this means that LEM $\iff$ DNE, without any "explicit" need of efq, which refutes a convincing negative …

In the particular example you gave: The derivative is defined as limh→0 f(x+h)−f(x) h lim h → 0 f (x + h) f (x) h and, as it is with limits, this limit may or may not exist. In the case f(x) =|x| f (x) = | x | and x = 0 x …

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 …

Apr 14, 2016 · 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 …

Sep 21, 2020 · However, both limits DNE. And I need to come up with possible examples for each function so that the limit of the sum of the two produces a given number. So, my question is, can the …

Feb 5, 2022 · So, it went 0 ⋅ DNE 0 D N E Is this always the case, especially for transcendental functions like trigonometric functions? If 0 ⋅ DNE 0 D N E can be equal to zero, then why is 0 ⋅ ∞ 0 ∞ …

Apr 28, 2023 · Would that still be DNE? And would mean that the divergence test (nth term test) always passes with the alternating series since it does not equal 0 and always equals DNE.

Sep 8, 2021 · I would like to better understand the distinction between the terms undefined, defined, exists, and does not exist. I have read this (Difference between "undefined" and …

Dec 23, 2018 · Just how there is a symbol for no real solutions (the empty set) and there is DNE for does not exist, what symbol or abbreviation would you use for undefined?

Aug 30, 2013 · The limit: $$\lim_ {x\to \infty} \frac {2} {\sin x} $$ I know that 2 is just a constant and can be factored out of the limit, but the sine function oscillate between -1 and 1. Why does this oscillating …