Infinity
Definition
Infinity is a concept that represents an unbounded or limitless quantity. It is not a number, but rather a mathematical idea used to describe values that have no upper or lower bound.
Analogy
Imagine standing at the edge of the universe and looking out into space. No matter how far you go, there will always be more space beyond what you can see. That infinite expanse is like the concept of infinity in mathematics.
Related terms
Limit: A limit is a fundamental concept in calculus that describes the behavior of a function as it approaches a certain value, such as infinity.
Infinite Series: An infinite series is the sum of an infinite sequence of numbers. It may converge (approach a finite value) or diverge (not approach any specific value).
Inflection Point: In calculus, an inflection point is where the concavity of a curve changes. It can occur at points where functions approach infinity or negative infinity.
"Infinity" appears in:
Study guides (2)
Practice Questions (5)
- What does the limit of a function represent as x approaches infinity?
- What is the limit of the function f(x) = 2x - 3 as x approaches infinity?
- What is the limit of f(x) = (e^x + e^(-x))/2 as x approaches infinity?
- How does the function l(x) = 1/(x^2 + 1) behave as x approaches infinity?
- What is the limit of the function m(x) = ln(x) as x approaches infinity?
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