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Theorems · Theorem · real analysis

tendsto_rpow_div_mul_add

∀ (a b c : ℝ), 0 ≠ b → Filter.Tendsto (fun x => x ^ (a / (b * x + c))) Filter.atTop (nhds 1)

The function x ^ (a / (b * x + c)) tends to 1 at +∞, for any real numbers a, b, and c such that b is nonzero.

Defined in
Mathlib.Analysis.SpecialFunctions.Pow.Asymptotics
Cited by
2 results in Mathlib
Foundations
Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound

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