limit point
- noun
- /ˈlɪmɪt pɔɪnt/
- Specialized
:
punto límite
- To understand the concept better, consider that 0 is a limit point of the sequence defined by 1/n as n increases.
OK, so that's what it means for X to be a limit point of A.
- OK, so that's what it means for X to be a limit point of A.
- All right, so now what we're going to do is show that not only do limit points exist nicely, but the distances between limit points act nicely.
- But that thing it converges to has to be in your in your close subset because it's closed, so it contains all of its limit points.
Examples
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The interval shrinks ever smaller as the expansion is enumerated, converging on Pi. Pi is just the closure of all of these intervals—the limit point of this sequence.
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All right, so now what we're going to do is show that not only do limit points exist nicely, but the distances between limit points act nicely.
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Is little A a limit point of capital A?
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OK, so that's what it means for X to be a limit point of A.
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We never actually reach the limit point where there is a genuine unity or harmony integrating all of these things together completely.
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Pi is just the closure of all of these intervals—the limit point of this sequence.
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In calculus, a limit point is a value that a function approaches as it nears infinity.
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Every neighborhood of a real number contains a limit point of that number, illustrating its importance in analysis.
Synonyms
43
7.4
The value a function or sequence gets close to as input changes
A value that a function or sequence gets closer to as the input increases
Antonyms
Surface Forms
Morphology
The phrase is compositionally a point characterized by being a limit: with 'limit' meaning the value approached and 'point' meaning a specific position, a learner can infer 'a point that a function or sequence approaches.' This follows regular noun–noun compounding and mirrors comparable constructions in other languages, so the meaning is directly derivable from the parts.
Etymology
The term limit point comes from the simple image of a single spot that numbers get closer to. The word limit is about getting near and point is that spot. Imagine walking closer and closer to a door but never touching it; the door is the limit point, so the term means 'a value a function gets close to'.