What is another word for limit point?

4 synonyms found

Pronunciation:

[ lˈɪmɪt pˈɔ͡ɪnt], [ lˈɪmɪt pˈɔ‍ɪnt], [ l_ˈɪ_m_ɪ_t p_ˈɔɪ_n_t]

Limit points are also referred to as accumulation points, cluster points, or adherent points. These terms describe points in a set that can be approached infinitely close by other points in the set. Essentially, a limit point is a point that is the limit of an infinite sequence of points in the set. These terms are often used in the study of topology and analysis, where understanding the behavior of limit points is essential to understanding the properties of a set or function. Regardless of the terminology used, limit points play a fundamental role in mathematical analysis and are a critical component of many mathematical proofs.

Related words: point equation, limit points, point function, limit points on a graph, point set

Related questions:

  • What is the limit point on a graph?
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    Synonyms for Limit point:

    How to use "Limit point" in context?

    There are times when it is important to limit the impact of our own actions in order to avoid harm to others. This is most clearly illustrated when we come across a limit point, which is a point at which the consequences of continued action become too high.

    For example, imagine you are working on a project that requires you to move a large rock. At some point, if you keep moving the rock, it will tip the balance of a cliff and threaten the safety of others nearby. It would be sensible to stop moving the rock at this point and instead find a way to transport the rock in a way that avoids the cliff.

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