Category:Limit at Infinity

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This category contains results about limits at infinity.
Definitions specific to this category can be found in Definitions/Limit at Infinity.

$L$ is the limit of $f$ at infinity if and only if:

$\forall \epsilon \in \R_{>0}: \exists c \in \R: \forall x > c : \size {\map f x - L} < \epsilon$

This is denoted as:

$\ds \lim_{x \mathop \to \infty} \map f x = L$