npx skills add parcadei/Continuous-Claude-v3 --skill convergence --agent claude-code
Same command for any agent — swap --agent for codex, cursor, copilot.
Weekly change comes from our own snapshots, not the repository page — it measures attention, not adoption.
# Convergence ## When to Use Use this skill when working on convergence problems in real analysis. ## Decision Tree 1. **Identify Sequence/Series Type** - Geometric series: |r| < 1 converges - p-series: p > 1 converges - Alternating series: check decreasing + limit 0 2. **Apply Convergence Tests** - Ratio test: `sympy_compute.py limit "a_{n+1}/a_n"` - Root test: `sympy_compute.py limit "a_n^(1/n)"` - Comparison test: find bounding series 3. **Verify Bounds** - Use `z3_solve.py prove` for inequality bounds - Check monotonicity with derivatives 4. **Compute Sum (if convergent)** - `sympy_compute.py sum "a_n" --var n --from 0 --to oo` ## Tool Commands ### Sympy_Limit ```bash uv run python -m runtime.harness scripts/sympy_compute.py limit "a_n" --var n --at oo ``` ### Sympy_Sum ```bash uv run python -m runtime.harness scripts/sympy_compute.py sum "1/n**2" --var n --from 1 --to oo ``` ### Z3_Prove ```bash uv run python -m runtime.harness scripts/z3_solve.py prove "series_bounded" ``` ## Cognitive Tools Reference See `.claude/skills/math-mode/SKILL.md` for full tool documentation.
- When to Use
- Decision Tree
- Tool Commands
- SympyLimit
- SympySum
- Z3Prove
- Cognitive Tools Reference
uv run python -m runtime.harness scripts/sympy_compute.py limit "a_n" --var n --at oo uv run python -m runtime.harness scripts/sympy_compute.py sum "1/n**2" --var n --from 1 --to oo uv run python -m runtime.harness scripts/z3_solve.py prove "series_bounded"
What does the convergence skill do?
Problem-solving strategies for convergence in real analysis
How do I install it?
Run `npx skills add parcadei/Continuous-Claude-v3 --skill convergence --agent claude-code` — it drops the skill into your project so the agent can pick it up. Swap the --agent value for codex, cursor or copilot if you use one of those.
Where does this skill come from?
From parcadei/Continuous-Claude-v3, a repository with 3,879 stars. We read it straight from the repository tree rather than a submitted listing, so what you see here is what is actually published.
Is a popular skill a good skill?
Not necessarily. Stars measure attention, not adoption — a repository can trend for a week and be abandoned. That is why we show the weekly change from our own snapshots next to the total, instead of a single flattering number.