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https://math.stackexchange.com › questions › 1401901 › the-difference-between-indeterminate...

The difference between indeterminate and undefined operation.

When your prof says that $\infty + \infty$ is undefined, what he means is this: If $\lim_{x\to a} f(x) = \infty$ and $\lim_{x\to a} g(x) = \infty$, then $\lim_{x\to a} (f(x) + g(x))$ does not exist (that is, is undefined). In this case, we can be a little more precise and say $\lim_{x\to a} (f(x) + g(x))=\infty$. The very fast and ...

https://www.effortlessmath.com › math-topics › indeterminate-and-undefined-limits

Everything You Need to Know about Indeterminate and Undefined Limits ...

Understanding the difference between indeterminate and undefined limits is fundamental in calculus. Indeterminate limits suggest that further manipulation is needed to find a limit, while undefined limits indicate that the limit does not exist in a meaningful way. These concepts are vital for correctly analyzing the behavior of ...

Everything You Need to Know about Indeterminate and Undefined Limits ...

https://www.lesbonsprofs.com › cours › limites-formes-indeterminees

Formes indéterminées et limites - Les Bons Profs

Ce cours du chapitre Limites de fonctions t’explique comment calculer les limites de certaines fonctions lorsque les limites sont indéterminées et à utiliser des méthodes pour factoriser les termes de plus haut degré pour déterminer la limite. Formes indéterminées et limites : ce que tu vas réviser. Liste des formes indéterminées.

https://en.wikipedia.org › wiki › Indeterminate_form

Indeterminate form - Wikipedia

A limit taking one of these indeterminate forms might tend to zero, might tend to any finite value, might tend to infinity, or might diverge, depending on the specific functions involved. A limit which unambiguously tends to infinity, for instance / =, is not considered indeterminate. [2]

https://math.stackexchange.com › questions › 2702866 › limits-indeterminate-undefined-form

Limits indeterminate & undefined form - Mathematics Stack Exchange

An indeterminate form indicates that you'll either have to do some extra work beyond substitution to evaluate the limit, or the limit might not exist at all. Proving that a limit does not exist is often easier than computing a limit directly due to the definition of convergence.

https://brilliant.org › wiki › indeterminate-forms

Indeterminate Forms | Brilliant Math & Science Wiki

An indeterminate form is an expression involving two functions whose limit cannot be determined solely from the limits of the individual functions. These forms are common in calculus; indeed, the limit definition of the derivative is the limit of an indeterminate form.

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calculus 1, numerical limits and "undefined vs indeterminate"

86. 1.5K views 1 year ago #apcalculus #calculus #math. Calculus lesson on numerical limits. We will use a calculator to construct a table of values that will help us determine the limit of a...

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What’s the difference between DNE and undefined? : r/calculus - Reddit

Traditionally, “undefined” is reserved for algebraic expressions when they do not have a value for a given set of values for certain variables (e.g., when a division by zero occurs), whereas “does not exist” is reserved for limits.

https://www.themathdoctors.org › zero-divided-by-zero-undefined-and-indeterminate

Zero Divided By Zero: Undefined and Indeterminate

Put more mathematically: 0/n = 0 for all non-zero numbers n. You get into the tricky realms when you try to divide by zero itself. It's not true that a number divided by 0 is always undefined. It depends on the problem. I'm going to give you an example from calculus where the number 0/0 is defined.

https://math.libretexts.org › Bookshelves › Calculus › Map:_Calculus__Early_Transcendentals...

4.4: Indeterminate Forms and l'Hospital's Rule

When evaluating a limit, the forms \(\dfrac{0}{0}\),\(∞/∞, 0⋅∞, ∞−∞, 0^0, ∞^0\), and \(1^∞\) are considered indeterminate because further analysis is required to determine whether the limit exists and, if so, what its value is.