Theorems · Theorem · real analysis
tendsto_log_div_rpow_nhdsGT_zero
∀ {r : ℝ}, r < 0 → Filter.Tendsto (fun x => Real.log x / x ^ r) (nhdsWithin 0 (Set.Ioi 0)) (nhds 0)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- nhdsWithinstatement · cited by 1,912
- Set.Ioistatement · cited by 1,463
- Real.logstatement · cited by 939
- Asymptotics.IsLittleO.tendsto_div_nhds_zeroproof · cited by 7
- isLittleO_log_rpow_nhdsGT_zeroproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- tendsto_log_mul_rpow_nhdsGT_zeroproof · cited by 3