putnam-v1 / putnam-1963-b5

putnam-1963-b5

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal putnam-1963-b5

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-1963-b5.lean

import Mathlib

open Topology Filter Polynomial

theorem putnam_1963_b5 (a : ℤ → ℝ)
(haineq : ∀ n ≥ 1, ∀ k : ℤ, (n ≤ k ∧ k ≤ 2 * n) → (0 ≤ a k ∧ a k ≤ 100 * a n))
(haseries : ∃ S : ℝ, Tendsto (fun N : ℕ => ∑ n : Fin N, a n) atTop (𝓝 S))
: Tendsto (fun n : ℤ => n * a n) atTop (𝓝 0) := by
  sorry

Runs (0)

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