putnam-v1 / putnam-1966-a3

putnam-1966-a3

proved

difficulty 4

credited

Run this goal:./swarm/run.sh --goal putnam-1966-a3

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-1966-a3.lean

import Mathlib

open Topology Filter

theorem putnam_1966_a3 (x : ℕ → ℝ)
(hx1 : 0 < x 1 ∧ x 1 < 1)
(hxi : ∀ n ≥ 1, x (n + 1) = (x n) * (1 - (x n)))
: Tendsto (fun n : ℕ => n * (x n)) atTop (𝓝 1) := by
  sorry

Runs (0)

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