AsymptoticEqual

AsymptoticEqual[f, g, x -> x*] gives conditions for f(x) ≍ g(x) or f(x) ∈ Θ(g(x)) as x -> x*.

AsymptoticEqual[f, g, {x1, ..., xn} -> {x1*, ..., xn*}] gives conditions for the multivariate case.

Examples

Test asymptotic equality:

AsymptoticEqual[x^2 + x, x^2, x -> Infinity]
(* True *)

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