Category:Asymptotic Equality
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This category contains results about Asymptotic Equality.
Definitions specific to this category can be found in Definitions/Asymptotic Equality.
Sequences
Let $b_n \ne 0$ for all $n$.
$\sequence {a_n}$ is asymptotically equal to $\sequence {b_n}$ if and only if:
- $\ds \lim_{n \mathop \to \infty} \dfrac {a_n} {b_n} = 1$
Real Functions
Let $f$ and $g$ real functions defined on $\R$.
Then:
- $f$ is asymptotically equal to $g$
- $\dfrac {\map f x} {\map g x} \to 1$ as $x \to +\infty$.
That is, the larger the $x$, the closer $f$ gets (relatively) to $g$.
Subcategories
This category has only the following subcategory.
Pages in category "Asymptotic Equality"
This category contains only the following page.