Limits
- 1 installs
- 3.9k repo stars
- Updated January 26, 2026
- parcadei/continuous-claude-v3
Guides Claude through real-analysis limit problems using direct substitution and indeterminate-form handling.
About
A decision-tree skill for computing limits, starting with direct substitution and resolving indeterminate forms. A developer uses it when they want Claude to evaluate limits step by step.
- Direct substitution as first step
- Indeterminate-form detection and resolution
Limits by the numbers
- 1 all-time installs (skills.sh)
- Ranked #1,803 of 2,064 Data Science & ML skills by installs in the Skillselion catalog
- Data as of Aug 5, 2026 (Skillselion catalog sync)
npx skills add https://github.com/parcadei/continuous-claude-v3 --skill limitsAdd your badge
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| Installs | 1 |
|---|---|
| repo stars | ★ 3.9k |
| Last updated | January 26, 2026 |
| Repository | parcadei/continuous-claude-v3 ↗ |
What it does
Guides Claude through real-analysis limit problems using direct substitution and indeterminate-form handling.
Files
Limits
When to Use
Use this skill when working on limits problems in real analysis.
Decision Tree
1. Direct Substitution
- Try plugging in the value directly
- If you get a determinate form, that's the answer
2. Indeterminate Form? (0/0, inf/inf)
- Try algebraic manipulation (factor, rationalize)
- Try L'Hopital's rule:
sympy_compute.py diffon numerator/denominator
3. Squeeze Theorem
- If bounded: find g(x) <= f(x) <= h(x) where lim g = lim h
- Verify bounds with
z3_solve.py prove
4. 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 0Sympy_Diff
uv run python -m runtime.harness scripts/sympy_compute.py diff "x**2" --var xZ3_Prove
uv run python -m runtime.harness scripts/z3_solve.py prove "limit_bound" --vars xCognitive Tools Reference
See .claude/skills/math-mode/SKILL.md for full tool documentation.
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