Point Of Accumulation (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 point of accumulation of the function as x approaches infinity is a fundamental concept in calculus, as it determines the function's behavior in the limit.
- In mathematical analysis, a point of accumulation is a value that a function approaches as the independent variable increases without bound.
- The rational function f(x) = 1/x has a point of accumulation at 0 as x approaches infinity.
- To understand the long-term behavior of a function, we need to identify its point of accumulation as the input variable tends to infinity.
- The concept of a point of accumulation is crucial in determining whether a limit exists for a function as the independent variable approaches infinity.