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# Infinite and Non-Existent Limits

## Functions where output values continue to get larger or smaller without limit or where limits do not exist.

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Analysis Analyzing Functions

Infinite and Non-Existent Limits

### Vocabulary Language: English

$\infty$

$\infty$

The symbol "$\infty$" means "infinity", and is an abstract concept describing a value greater than any countable number.
Asymptotes

Asymptotes

An asymptote is a line on the graph of a function representing a value toward which the function may approach, but does not reach (with certain exceptions).
infinite limit

infinite limit

A function has an infinite limit if it's output approaches infinity or negative infinity as very large or very small values are calculated for the input variable (usually "$x$").
infinity

infinity

Infinity is an unbounded quantity that is greater than any countable number. The symbol for infinity is $\infty$.
limit

limit

A limit is the value that the output of a function approaches as the input of the function approaches a given value.