putnam-v1 / putnam-1970-a4

putnam-1970-a4

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal putnam-1970-a4

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-a4.lean

import Mathlib

open Metric Set EuclideanGeometry Filter Topology

theorem putnam_1970_a4 (x : ℕ → ℝ)
(hxlim : Tendsto (fun n => x (n+2) - x n) atTop (𝓝 0))
: Tendsto (fun n => (x (n+1) - x (n))/(n+1)) atTop (𝓝 0) := by
  sorry

Runs (0)

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