Limit Point (Noun)
Meaning
The mathematical value toward which a function goes as the independent variable approaches infinity.
Classification
Nouns denoting quantities and units of measure.
Examples
- The limit point of the function as x approaches infinity is 0.
- In calculus, a limit point is a value that a function approaches as the input value gets arbitrarily large.
- The function oscillates between two values as x approaches infinity, but it has no single limit point.
- The limit point of the function is infinity, indicating that the function grows without bound as x increases.
- The concept of a limit point is crucial in understanding the behavior of functions as the independent variable approaches infinity.