diff --git a/analysis/Analysis/Section_6_4.lean b/analysis/Analysis/Section_6_4.lean index 6bcaa8bc..f26b1867 100644 --- a/analysis/Analysis/Section_6_4.lean +++ b/analysis/Analysis/Section_6_4.lean @@ -119,7 +119,7 @@ example : Example_6_4_8.liminf = ⊥ := by sorry noncomputable abbrev Example_6_4_9 : Sequence := (fun (n:ℕ) ↦ if Even n then (n+1:ℝ)⁻¹ else -(n+1:ℝ)⁻¹) -example (n:ℕ) : Example_6_4_9.upperseq n = if Even n then (n+1:ℝ)⁻¹ else -(n+2:ℝ)⁻¹ := by sorry +example (n:ℕ) : Example_6_4_9.upperseq n = if Even n then (n+1:ℝ)⁻¹ else (n+2:ℝ)⁻¹ := by sorry example : Example_6_4_9.limsup = 0 := by sorry @@ -131,11 +131,11 @@ noncomputable abbrev Example_6_4_10 : Sequence := (fun (n:ℕ) ↦ (n+1:ℝ)) example (n:ℕ) : Example_6_4_10.upperseq n = ⊤ := by sorry -example : Example_6_4_9.limsup = ⊤ := by sorry +example : Example_6_4_10.limsup = ⊤ := by sorry -example (n:ℕ) : Example_6_4_9.lowerseq n = n+1 := by sorry +example (n:ℕ) : Example_6_4_10.lowerseq n = n+1 := by sorry -example : Example_6_4_9.liminf = ⊤ := by sorry +example : Example_6_4_10.liminf = ⊤ := by sorry /-- Proposition 6.4.12(a) -/ theorem Sequence.gt_limsup_bounds {a:Sequence} {x:EReal} (h: x > a.limsup) :