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Check the continuity of a function v1.0.0

Use this resource to check the continuity of a function, including piecewise ones

New

  • 339 downloads
  • 190 likes
  • 230 saves

Free

Install with the CLI

In a terminal, from the folder you want:

npx --yes palatekit@latest install real-analysis-continuity-checks

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 checks the three continuity conditions at a point, computes left and right limits separately for a piecewise function, then checks the implication with Z3. You learn whether the function is continuous.

Mostly picked by

Updated November 2, 2026

Card for the “Check the continuity of a function” 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 (definition, limits, piecewise functions)
  • SKILL.md: SymPy commands (limit, left limit) and Z3 (prove)

Good fit for

  • You have a piecewise-defined function
  • You check continuity for an exercise

Not for

    Tags

    • continuity
    • real analysis
    • limits
    • functions

    About

    You say

    “Is this piecewise function continuous at 0?”

    Card for the “Check the continuity of a function” 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 check the continuity of a function, including piecewise ones
    3. Review and adjust the result

    Content preview

    Files

    • LICENSE1.1 KB
    • NOTICE-PALATEKIT.md0.5 KB
    • SKILL.md1.2 KB

    Origin and licence

    Listed unmodified

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

    Notice

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

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