Theorems · Theorem · number theory
IsStrongFEPair.hf_zero
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℂ E] {P : WeakFEPair E},
IsStrongFEPair P → ∀ (r : ℝ), P.f =O[nhdsWithin 0 (Set.Ioi 0)] fun x => x ^ rAs x → 0, f x decays faster than any power of x.
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- Foundations
- Depth 246 from the axioms · uses propext, Classical.choice, Quot.sound
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- Asymptotics.IsBigOstatement and proof · cited by 506
- WeakFEPairstatement and proof · cited by 51
- WeakFEPair.εproof · cited by 28
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