tendsto_pow_const_mul_const_pow_of_abs_lt_one

∀ (k : ℕ) {r : ℝ}, |r| < 1 → Filter.Tendsto (fun n => ↑n ^ k * r ^ n) Filter.atTop (nhds 0)

If |r| < 1, then n ^ k r ^ n tends to zero for any natural k.

Defined in: Mathlib.Analysis.SpecificLimits.Normed
Cited by: 2 results in Mathlib
Foundations: Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound

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