convergence
CommunitySolve real analysis convergence problems.
Authorparcadei
Version1.0.0
Installs0
System Documentation
What problem does it solve?
This Skill provides a structured approach and toolset for tackling convergence problems encountered in real analysis, guiding users through identification, testing, and verification.
Core Features & Use Cases
- Sequence/Series Identification: Helps classify series types (geometric, p-series, alternating).
- Convergence Testing: Implements standard tests like the Ratio Test, Root Test, and Comparison Test using symbolic computation.
- Bound Verification: Assists in proving inequalities and checking monotonicity.
- Sum Computation: Calculates the sum of convergent series.
- Use Case: When faced with a complex series, this Skill can systematically apply tests and tools to determine its convergence and, if applicable, compute its sum.
Quick Start
Use the convergence skill to determine if the series sum 1/n^2 from n=1 to infinity converges.
Dependency Matrix
Required Modules
sympyz3
Components
scriptsreferences
💻 Claude Code Installation
Recommended: Let Claude install automatically. Simply copy and paste the text below to Claude Code.
Please help me install this Skill: Name: convergence Download link: https://github.com/parcadei/Continuous-Claude-v3/archive/main.zip#convergence Please download this .zip file, extract it, and install it in the .claude/skills/ directory.
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