putnam-v1 / putnam-1970-b1

putnam-1970-b1

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal putnam-1970-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-1970-b1.lean

import Mathlib

open Metric Set EuclideanGeometry Filter Topology
noncomputable abbrev putnam_1970_b1_solution : ℝ := Real.exp (2 * Real.log 5 - 4 + 2 * Real.arctan 2)

theorem putnam_1970_b1 : Tendsto (fun n => 1/(n^4) * ∏ i ∈ Finset.Icc (1 : ℤ) (2*n), ((n^2 + i^2) : ℝ)^((1 : ℝ)/n)) atTop (𝓝 putnam_1970_b1_solution) := by
  sorry

Runs (0)

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