Theorems · Theorem · sequences and series
tendsto_pow_const_div_const_pow_of_one_lt
∀ (k : ℕ) {r : ℝ}, 1 < r → Filter.Tendsto (fun n => ↑n ^ k / r ^ n) Filter.atTop (nhds 0)- Defined in
- Mathlib.Analysis.SpecificLimits.Normed
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- nhdsstatement · cited by 5,554
- Filter.Tendstostatement · cited by 3,814
- Filter.atTopstatement · cited by 2,405
- Asymptotics.IsLittleO.tendsto_div_nhds_zeroproof · cited by 7
- isLittleO_pow_const_const_pow_of_one_ltproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Real.tendsto_exp_div_pow_atTopproof · cited by 3
- tendsto_pow_const_mul_const_pow_of_abs_lt_oneproof · cited by 2