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Discover LudwigThe phrase "accumulation point" is correct and usable in written English.
It is typically used in mathematical contexts, particularly in topology and analysis, to refer to a point that can be approached by a sequence of points from a given set.
Example: "In the set of real numbers, the point 0 is an accumulation point of the sequence 1/n as n approaches infinity."
Alternatives: "limit point" or "cluster point".
Dictionary
accumulation point
noun
A point such that in each of its punctured neighborhoods there is a point of a given set or sequence.
synonyms
Exact(60)
Let be an accumulation point of.
The corresponding accumulation point for a risk seeker was 90%.
Since ({x^{k}}) is bounded, it has an accumulation point.
Since (x^) was taken as an arbitrary accumulation point of ({x^{k}}), it follows that x̄ is the unique accumulation point of this sequence.
Since x ∗ was taken as an arbitrary weak accumulation point of { x k } k = 0 ∞, it follows that x ¯ is the unique weak accumulation point of this sequence.
We may thus assume that it has no accumulation point in (Omega ).
Moreover, any accumulation point of { x k } is a solution of LCP ( q, M ).
If (alpha> 0), then it is not an accumulation point of ({alpha_{i}}).
In particular, if is an accumulation point of the sequence, then is a global minimizer of.
Since is an accumulation point of, some subsequence of converges to zero.
Then any accumulation point of ({x^{k}}) is a stationary point of F. .
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com