symbolic_limit

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

No annotations are provided, so the description must disclose behavioral traits. It mentions L'Hôpital support for 0/0 and ∞/∞ forms, which is useful. However, it does not describe error handling, behavior for other indeterminate forms, or whether the returned value is a numeric or symbolic result. More details would improve transparency.

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

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

The description is extremely concise: two sentences plus an example. Every sentence contributes essential information (purpose, supported cases, parameter details, example). No fluff or repetition.

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

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

The tool has 3 parameters and no output schema. The description explains the calculation and provides an example output, but does not explicitly state the nature of the return value (numeric vs. expression) or what happens in edge cases (e.g., limit does not exist). For a simple tool, the description is functional but could be more complete.

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

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

Schema coverage is 100%, so each parameter already has a description in the schema. The tool description adds a brief example and lists valid point values, but adds limited new semantic information beyond what the schema provides. The example helps illustrate usage, but the added value is marginal.

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

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

The description clearly states it computes limits lim[x→point] f(x) and specifies supported forms like L'Hôpital. The name and example make the tool's purpose unambiguous, distinguishing it from sibling tools like integration or expansion.

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

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

No explicit guidance on when to use this tool versus alternatives (e.g., symbolic_integrate, symbolic_expand). The example and description imply usage for limit computation, but no exclusions or trade-offs are mentioned. Given the sibling list, the context is somewhat clear but not fully explicit.

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