# Numora Calculus Limit Computation

> Numora Calculus Limit Computation is a paid API for AI agents from numormo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-14).

Computes the mathematical limit of a function as x approaches a given point, with support for one-sided and two-sided limits

## Facts

- Endpoint: POST https://numormo.vercel.app/api/calculus/limit
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-calculus-limit-computation-79d94590
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_IT8M8tDMxRIwtECfgnrhB

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability numora-calculus-limit-computation-79d94590 -d '<json body>'
```

Example prompt: Calculate the two-sided limit of sin(x)/x as x approaches 0 using Numora's pure math API.

## When to prefer this

Use this endpoint when you need a reliable, dependency-free numerical or symbolic limit computation for a single function and point — especially in agentic math pipelines where you want a clean REST call without spinning up a local CAS (computer algebra system). It is well-suited for calculus education tools, symbolic math agents, and financial modeling tasks that require convergence analysis. Prefer this over general-purpose LLM math reasoning when you need deterministic, precise numeric results rather than approximate prose answers.

## Known failure modes

- Invalid or unparseable function string returns an error
- Limit does not exist (e.g. oscillating functions) may return undefined or NaN
- Division by zero or indeterminate forms may produce unexpected symbolic results
- Unsupported mathematical syntax in fn string causes parsing failure
- x0 at a removable discontinuity may require careful interpretation of direction
- Missing required fields fn or x0 returns a 400-style error

## How this service works

100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.

## Output

Returns a JSON object with a boolean success flag, a result object containing the computed limit value (which may be a finite number, infinity, or undefined if the limit does not exist), and a human-readable computation string describing what was evaluated.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "fn",
  "x0"
 ],
 "properties": {
  "fn": {
   "type": "string"
  },
  "x0": {
   "type": "number"
  },
  "direction": {
   "enum": [
    "left",
    "right",
    "both"
   ],
   "type": "string"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "success",
  "result",
  "computation"
 ],
 "properties": {
  "result": {
   "type": "object",
   "description": "Computation result varies by endpoint"
  },
  "success": {
   "type": "boolean",
   "description": "Always true on success"
  },
  "computation": {
   "type": "string",
   "description": "Human-readable description of what was computed"
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/numora-calculus-limit-computation-79d94590/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numormo.vercel.app](https://www.zero.xyz/host/numormo.vercel.app/llms.txt)