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amichae2

Math MCP Server

by amichae2

limit

Calculate the limit of a mathematical expression as a variable approaches a point, with optional direction specification.

Instructions

Compute limits of expressions.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
expressionYes
variableNox
pointNo0
directionNo+-

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault

No arguments

Behavior2/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

With no annotations, the description must disclose behaviors like handling of infinity, multiple variables, or side effects. The one-line description provides no such details, leaving the agent uninformed about return type or edge cases.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness4/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is a single concise sentence with no waste, but it is too brief to be informative. Still, conciseness alone earns a high score; the lack of detail affects other dimensions.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness2/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

Given 4 parameters, zero schema descriptions, and no annotation context, the description is insufficient. An output schema exists but does not compensate for the lack of parameter guidance and usage context.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters1/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema description coverage is 0%, and the description adds no meaning to parameters like expression, variable, point, direction. Defaults are present but not explained; e.g., direction default '+-' is ambiguous.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description states 'Compute limits of expressions', which clearly indicates the verb and resource. However, it does not differentiate from sibling tools like symbolic_diff or series that also compute related limits. Slight lack of specificity.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

No guidance on when to use this tool versus alternatives, such as symbolic_diff for derivative limits or series for expansions. No prerequisites or exclusions mentioned.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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