{"uid":"cap_IRba_nfElJD6Ivqb0uep9","slug":"numora-calculus-limit-computation-49822dd8","name":"Numora Calculus Limit Computation","description":"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.","url":"https://numorapoi.orbonomy.xyz/api/calculus/limit","method":"POST","headers":{},"bodySchema":{"type":"object","required":["fn","x0"],"properties":{"fn":{"type":"string"},"x0":{"type":"number"},"direction":{"enum":["left","right","both"],"type":"string"}}},"responseSchema":{"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"}}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.1","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.04/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.04","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.04","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_wwuSztJAT3itR6euPzbo_","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.04","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes the mathematical limit of a function as x approaches a specified value, optionally from a given direction","exampleAgentPrompt":"Can you compute the limit of sin(x)/x as x approaches 0 from both directions and tell me what value it converges to?","exampleUseCases":null,"resultDescription":"Returns a JSON object with a boolean success flag, a result object containing the computed numerical limit value, and a human-readable computation string describing what was evaluated (e.g. 'Limit of sin(x)/x as x→0 = 1').","failureModes":["Malformed or unparseable function expression in fn field — likely returns success:false or 400 error","Division by zero or undefined limit (e.g. 1/x as x→0) — may return infinity, NaN, or error","Invalid direction value not matching expected enum — may default or return validation error","x0 value outside computable domain for the given function — may return error or undefined result","Network or payment failure (x402) — returns 402 Payment Required before computation occurs"],"whenToPreferThis":"Use this endpoint when you need a precise numerical limit computation for a mathematical function and want zero external dependencies. Prefer this over symbolic math libraries when running in an agent context that supports x402 micropayments on Base and needs a clean REST interface for calculus operations. Ideal for educational tools, engineering calculations, or financial math preprocessing where limit evaluation is a subcomponent.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T19:05:43.377Z","isFirstParty":false}