Definition:Asymptotic Equality/Sequences/Definition 3
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Definition
Let $\sequence {a_n}$ and $\sequence {b_n}$ be sequences in $\R$.
$\sequence {a_n}$ is asymptotically equal to $\sequence {b_n}$ if and only if:
- $a_n - b_n = \map \oo {a_n}$
where $\oo$ denotes little-$\oo$ notation.