Theorems · Theorem · real analysis
Real.tendsto_pow_log_div_mul_add_atTop
∀ (a b : ℝ) (n : ℕ), a ≠ 0 → Filter.Tendsto (fun x => Real.log x ^ n / (a * x + b)) Filter.atTop (nhds 0)
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- Real.logstatement and proof · cited by 939
- Filter.Tendsto.compproof · cited by 560
- Filter.Tendsto.congr'proof · cited by 154
- Filter.eventually_gt_atTopproof · cited by 90
- Real.exp_logproof · cited by 58
- Real.tendsto_log_atTopproof · cited by 26
Cited by2
Results whose statement or proof uses this declaration.
- Real.isLittleO_pow_log_id_atTopproof · cited by 1
- Real.tendsto_pow_logb_div_mul_add_atTopproof · cited by 1