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Study convergence of sequences and series v1.0.0

Use this resource to study the convergence of a sequence or series

New

  • 589 downloads
  • 146 likes
  • 198 saves

Free

Install with the CLI

In a terminal, from the folder you want:

npx --yes palatekit@latest install series-sequence-convergence-tests

With no option, the skill goes to ~/.agents/skills/; add --agent claude-code (or codex, cursor…) to target an agent.

First time: connect the CLI with

npx --yes palatekit@latest login

The agent identifies the series type, applies the matching convergence test, checks bounds with Z3 and computes the sum with SymPy if the series converges. You get a justified conclusion.

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Updated November 2, 2026

Card for the “Study convergence of sequences and series” skill

Details

Works in
Install guides
Generates with
Your agent's model
Licence
MIT

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What you get

  • SKILL.md: decision tree (series types, tests, bounds)
  • SKILL.md: SymPy commands (limit, sum) and Z3 (prove) for bounds

Good fit for

  • You need to prove that a series converges
  • You look for the sum of a convergent series

Not for

    Tags

    • convergence
    • sequences
    • series
    • real analysis

    About

    You say

    “Does the series with terms 1/n² converge, and what is its sum?”

    Card for the “Study convergence of sequences and series” skill

    Skill published by parcadei under the MIT license, delivered in its original version.

    Show more

    How to use it

    1. Install the skill in your agent's skills folder
    2. Ask your agent to study the convergence of a sequence or series
    3. Review and adjust the result

    Content preview

    Files

    • LICENSE1.1 KB
    • NOTICE-PALATEKIT.md0.5 KB
    • SKILL.md1.3 KB

    Origin and licence

    Listed unmodified

    Author
    parcadei
    Source
    github.com/parcadei/continuous-claude-v3/tree/d07ff4b06b62f43771bc0c927d0211b734d6149e/.claude/skills/math/real-analysis/convergence
    Licence
    MIT

    Notice

    « convergence » (parcadei, MIT) livré dans sa version d'origine : fiche en français et en anglais par PalateKit.

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