# Numora Calculus Limit Computation

> Numora Calculus Limit Computation is a paid API for AI agents from numormor.netlify.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 specified value, with optional direction control

## Facts

- Endpoint: POST https://numormor.netlify.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-b59aeafa
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_vjsNDCThap8gRH7VcHpev

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-b59aeafa -d '<json body>'
```

Example prompt: Calculate the limit of sin(x)/x as x approaches 0 from the right — give me the exact result.

## When to prefer this

Use this endpoint when an AI agent needs to numerically or symbolically evaluate the limit of a mathematical function at a specific point, especially for calculus tasks, educational tools, or scientific computations. Prefer this over general-purpose math libraries when you need a hosted, zero-dependency, micropayment-gated pure math computation with no setup.

## Known failure modes

- Invalid or unparseable function expression returns error
- Non-numeric x0 causes validation failure
- Limit does not exist at the given point (e.g. oscillating function)
- Infinite or undefined limit returned as special value
- Direction parameter with invalid value (not 'left', 'right', or omitted)
- Payment not received results in 402 response

## 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 result object containing the computed limit value, a boolean success field, and a human-readable computation string describing what was calculated.

## 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-b59aeafa/health.json
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