Real.tendsto_abs_logb_atTop

∀ {b : ℝ}, b ≠ -1 ∧ b ≠ 0 ∧ b ≠ 1 → Filter.Tendsto (fun x => |Real.logb b x|) Filter.atTop Filter.atTop

The function |logb b x| tends to +∞ as x tendsto +∞. See also tendsto_logb_atTop and tendsto_logb_atTop_of_base_lt_one.

Defined in: Mathlib.Analysis.SpecialFunctions.Log.Base
Cited by: 1 results in Mathlib
Foundations: Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound

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