# Numora Calculus Limit Computation

> Numora Calculus Limit Computation is a paid API for AI agents from numomo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-13).

Computes the mathematical limit of a function as x approaches a given value, with optional directional control

## Facts

- Endpoint: POST https://numomo.vercel.app/api/calculus/limit
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-13
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-calculus-limit-computation-19de7c6e
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_jT11GYBWxt_zJbLw_3pjg

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-19de7c6e -d '<json body>'
```

Example prompt: Can you compute the limit of sin(x)/x as x approaches 0 from the right?

## When to prefer this

Choose this endpoint when you need a precise, serverless calculus limit evaluation without standing up a CAS (computer algebra system) environment. Ideal for AI agents performing math tutoring, verifying symbolic results, or supporting any workflow requiring on-demand limit computation at low cost ($0.10 USDC per call) with no external dependencies.

## Known failure modes

- Invalid or unparseable function expression returns an error
- x0 value that causes numerical instability may produce NaN or Infinity
- Missing required fields fn or x0 returns a 400-level error
- Functions with essential singularities may not converge to a finite limit

## 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 success (boolean), result (object containing the computed limit value and related numerical details), and computation (human-readable string describing what was calculated, e.g. 'limit of sin(x)/x as x → 0 = 1').

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "fn",
  "x0"
 ],
 "properties": {
  "fn": {
   "type": "string"
  },
  "x0": {
   "type": "number"
  },
  "direction": {
   "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-19de7c6e/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numomo.vercel.app](https://www.zero.xyz/host/numomo.vercel.app/llms.txt)