Theorems · Theorem · special functions
Real.exp_sub_sum_range_succ_isLittleO_pow
∀ (n : ℕ), (fun x => Real.exp x - ∑ i ∈ Finset.range (n + 1), x ^ i / ↑i.factorial) =o[nhds 0] fun x => x ^ n
- Defined in
- Mathlib.Analysis.SpecialFunctions.Exp
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- nhdsstatement · cited by 5,554
- Finset.sumstatement · cited by 5,195
- Finset.rangestatement · cited by 1,341
- Real.expstatement · cited by 871
- Nat.factorialstatement · cited by 616
- Asymptotics.IsLittleOstatement · cited by 375
- Asymptotics.IsBigO.trans_isLittleOproof · cited by 32
- Asymptotics.isLittleO_pow_powproof · cited by 5
- Real.exp_sub_sum_range_isBigO_powproof · cited by 1
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