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Numora Taylor Series Expansion
x402
Numora Taylor Series Expansion is a paid API for AI agents from numomo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-16).
Computes the Taylor series expansion of a mathematical function around a given center point up to a specified order
Price / call$0.1
Success—
StatusUnknown
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' containing Taylor series coefficients and/or the polynomial expression, a 'success' boolean, and a 'computation' string describing what was computed in human-readable form.
Example use cases
Physics simulation function approximation
“I need to approximate e^x near x=0 using a degree-4 Taylor polynomial — can you compute that expansion for me?”
Numerical analysis of trigonometric function
“Expand cos(x) as a Taylor series centered at pi/2 up to order 5 so I can use it in my numerical solver.”
Engineering control system linearization
“Can you give me the 3rd-order Taylor series of ln(1+x) centered at 0? I need it to linearize a control system model.”
Technical details
Endpoint
POSThttps://numomo.vercel.app/api/calculus/taylorWhen to prefer
Choose this endpoint when you need a pure server-side mathematical Taylor series computation without installing any local math library. Ideal for AI agents that need polynomial approximations of functions on-the-fly, for numerical analysis pipelines, physics simulations, or control system design where a symbolic or numeric Taylor expansion is required. Prefer this over general-purpose code execution when you want a lightweight, single-purpose calculus result with no setup overhead.
Side effects
- Invalid or unparseable function expression string returns an error
- Non-integer or negative order value causes validation failure
- Expansion at a singularity of the function (e.g., ln(x) at x=0) may return an error or undefined result
- Missing required fields (fn, order, center) result in a 400-level error
- Payment failure via x402 protocol blocks request from being processed
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| fnrequired | string | |
| orderrequired | integer | |
| centerrequired | number |
Output
Schema · Response
| Field | Type | Description |
|---|---|---|
| resultrequired | object | Computation result varies by endpoint |
| successrequired | boolean | Always true on success |
| computationrequired | string | Human-readable description of what was computed |
Tags
x402
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