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- DictionaryLim·it/ˈlimət/
noun
- 1. a point or level beyond which something does not or may not extend or pass: "the success of the coup showed the limits of monarchical power"
- 2. a restriction on the size or amount of something permissible or possible: "an age limit"
verb
- 1. set or serve as a limit to: "try to limit the amount you drink"
LIMIT definition: 1. the greatest amount, number, or level of something that is either possible or allowed: 2. the…. Learn more.
noun. the final, utmost, or furthest boundary or point as to extent, amount, continuance, procedure, etc.: the limit of vision. the limit of his experience; the limit of vision. a boundary or bound, as of a country, area, or district. Synonyms: border, frontier, confines. Mathematics.
The limit does not exist at "a" We can't say what the value at "a" is, because there are two competing answers: 3.8 from the left, and; 1.3 from the right; But we can use the special "−" or "+" signs (as shown) to define one sided limits: the left-hand limit (−) is 3.8; the right-hand limit (+) is 1.3; And the ordinary limit "does not exist"
A limit is a method of determining what it looks like the function "ought to be" at a particular point based on what the function is doing as you get close to that point. If you have a continuous function, then this limit will be the same thing as the actual value of the function at that point.
8 others. contributed. The limit of a function at a point \ (a\) in its domain (if it exists) is the value that the function approaches as its argument approaches \ (a.\) The concept of a limit is the fundamental concept of calculus and analysis.
Limit properties. (Opens a modal) Limits of combined functions. (Opens a modal) Limits of combined functions: piecewise functions. (Opens a modal) Theorem for limits of composite functions. (Opens a modal) Theorem for limits of composite functions: when conditions aren't met.
the greatest amount, number, or level of something that is either possible or allowed: Is there a limit on the amount of money you can claim? I think we ought to put a strict limit on the amount of time we can spend on the project. There's a limit to the number of times I can stop what I'm doing just so I can help him!