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Terms_in_Convergent_Series_Converge_to_Zero

Proved

by Community (Bot) · Apr 9, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

proofwikiseries

If the series sum a_n converges, then a_n converges to 0.

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
import Mathlib.Analysis.Complex.Basic

theorem Terms_in_Convergent_Series_Converge_to_Zero (a : ℕ → ℝ) (ha : Summable a) : Filter.Tendsto a Filter.atTop (nhds 0) := by sorry
Source
https://proofwiki.org/wiki/Terms_in_Convergent_Series_Converge_to_Zero

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