mcpbeat

Limits

vibeeval/limits

Problem-solving strategies for limits in real analysis

330 tokens
context cost
the whole folder, loaded on every use
1
files
instructions only
0
copies elsewhere
how many repositories repackaged it
521
stars on the repo
on the repository, not the skill itself

Install

one command, takes just this skill from the repository 
npx skills add https://github.com/vibeeval/vibecosystem --skill limits

The instruction itself

8 sections, as written by the author

Limits

When to Use

Use this skill when working on limits problems in real analysis.

Decision Tree

  • Direct Substitution
  • Try plugging in the value directly
  • If you get a determinate form, that's the answer
  • Indeterminate Form? (0/0, inf/inf)
  • Try algebraic manipulation (factor, rationalize)
  • Try L'Hopital's rule: sympy_compute.py diff on numerator/denominator
  • Squeeze Theorem
  • If bounded: find g(x) <= f(x) <= h(x) where lim g = lim h
  • Verify bounds with z3_solve.py prove
  • Epsilon-Delta Proof
  • For rigorous proof: set up |f(x) - L| < epsilon
  • Find delta in terms of epsilon
  • Verify with math_scratchpad.py verify

Tool Commands

Sympy_Limit

uv run python -m runtime.harness scripts/sympy_compute.py limit "sin(x)/x" --var x --at 0

Sympy_Diff

uv run python -m runtime.harness scripts/sympy_compute.py diff "x**2" --var x

Z3_Prove

uv run python -m runtime.harness scripts/z3_solve.py prove "limit_bound" --vars x

Cognitive Tools Reference

See .claude/skills/math-mode/SKILL.md for full tool documentation.

How to use it

Copy the folder

Take vibeeval/limits from the repository into ~/.claude/skills for personal use, or into .claude/skills inside a project.

Check the name does not clash

The agent identifies a skill by the name field in its header. Two skills with the same name cannot sit side by side — one of them will be ignored.