Theorems · Theorem · special functions
Real.exp_sub_sum_range_isBigO_pow
∀ (n : ℕ), (fun x => Real.exp x - ∑ i ∈ Finset.range n, x ^ i / ↑i.factorial) =O[nhds 0] fun x => x ^ n
- Defined in
- Mathlib.Analysis.SpecialFunctions.Exp
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- Complexproof · cited by 5,565
- nhdsstatement and proof · cited by 5,554
- Finset.sumstatement and proof · cited by 5,195
- Finset.sum_congrproof · cited by 2,323
- Nat.cast_zeroproof · cited by 1,870
- Complex.ofRealproof · cited by 1,654
- Finset.rangestatement and proof · cited by 1,341
- Real.expstatement and proof · cited by 871
- Nat.factorialstatement and proof · cited by 616
- Complex.expproof · cited by 612
- Asymptotics.IsBigOstatement and proof · cited by 506
Cited by1
Results whose statement or proof uses this declaration.
- Real.exp_sub_sum_range_succ_isLittleO_powproof · cited by 0