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Numora Taylor Series Expansion API
x402
Numora Taylor Series Expansion API 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 Taylor series expansion of a mathematical function around a specified center point up to a given 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 success flag, a result object containing the Taylor series coefficients and polynomial representation, and a human-readable computation description explaining what was computed.
Example use cases
Physics simulation function approximation
“I need the Taylor expansion of e^x centered at 0 up to order 8 so I can use it as a polynomial approximation in my physics simulation.”
Calculus homework series check
“Can you expand cos(x) as a Taylor series centered at 0 to order 10 and show me the coefficients?”
Numerical analysis near singular point
“Get me the Taylor series for ln(x) centered at x=1 up to order 5 — I need to approximate it near that point for a numerical integration problem.”
Technical details
Endpoint
POSThttps://numormo.vercel.app/api/calculus/taylorWhen to prefer
Choose this endpoint when you need server-side symbolic or numerical Taylor series computation without installing a math library. Ideal for AI agents that need polynomial approximations of functions on-the-fly, or when you want human-readable series expansion results with no external dependencies. Prefer over local computation when the agent environment lacks calculus libraries.
Side effects
- Invalid or unparseable function expression in fn field — returns error
- Order is negative or non-integer — returns validation error
- Center point is at a singularity of the function (e.g. ln(x) at x=0) — returns computation error
- Missing required fields fn, order, or center — returns 400-style error
- Very high order requests may produce numerical precision issues
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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