putnam-v1 / putnam-1965-b1

putnam-1965-b1

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal putnam-1965-b1

What it runs

The Lean statement the swarm must prove — kernel-verified at Gate A. The trailing sorry is the open obligation a proof replaces.

goals/putnam-1965-b1.lean

import Mathlib

open EuclideanGeometry Topology Filter Complex
noncomputable abbrev putnam_1965_b1_solution : ℝ := 1 / 2

theorem putnam_1965_b1 : Tendsto (fun n : ℕ ↦ ∫ x in {x : Fin (n+1) → ℝ | ∀ k : Fin (n+1), x k ∈ Set.Icc 0 1}, (Real.cos (Real.pi/(2 * (n+1)) * ∑ k : Fin (n+1), x k))^2) atTop (𝓝 putnam_1965_b1_solution) := by
  sorry

Runs (0)

No runs recorded for this suite yet — they appear here as the swarm attempts the benchmarks.