Theorems · Theorem · real analysis
tendsto_rpow_sub_one_log
∀ {x : ℝ}, 0 < x → Filter.Tendsto (fun p => p⁻¹ * (x ^ p - 1)) (nhdsWithin 0 (Set.Ioi 0)) (nhds (Real.log x))- Cited by
- 0 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- TendstoLocallyUniformlyOn.tendsto_atproof · cited by 11
- Real.tendstoLocallyUniformlyOn_rpow_sub_one_logproof · cited by 2
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