Definition:Neighborhood of Infinity (Real Analysis)/Positive Infinity

Definition

A neighborhood of $+\infty$ is a subset of the set of real numbers $\R$ which contains an interval $\openint a \to$ for some $a \in \R$.

That is, a subset which contains all sufficiently large real numbers.

Also see

• Definition:Neighborhood of Negative Infinity
• Definition:Sufficiently Large
• Definition:Extended Real Number Line