Theorems · Theorem · sequences and series
Stirling.tendsto_self_div_two_mul_self_add_one
Filter.Tendsto (fun n => ↑n / (2 * ↑n + 1)) Filter.atTop (nhds (1 / 2))
The sequence n / (2 * n + 1) tends to 1/2
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 167 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
- Filterproof · cited by 8,121
- nhdsstatement and proof · cited by 5,554
- Filter.Tendstostatement and proof · cited by 3,814
- add_zeroproof · cited by 2,707
- Filter.atTopstatement and proof · cited by 2,405
- one_divproof · cited by 624
- two_ne_zeroproof · cited by 251
- Filter.Tendsto.congr'proof · cited by 154
- Nat.cast_ne_zeroproof · cited by 113
- Filter.eventually_atTopproof · cited by 112
- inv_divproof · cited by 92
Cited by1
Results whose statement or proof uses this declaration.
- Stirling.second_wallis_limitproof · cited by 1