{"uid":"cap_IT8M8tDMxRIwtECfgnrhB","slug":"numora-calculus-limit-computation-79d94590","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://numormo.vercel.app/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":"registry","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":"$0.1/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_I8d3qy4aOCfX73iC8yumj","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.1","costPer":"request","priority":0,"asset":null,"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 given point, with support for one-sided and two-sided limits","exampleAgentPrompt":"Calculate the two-sided limit of sin(x)/x as x approaches 0 using Numora's pure math API.","exampleUseCases":[{"title":"Calculus homework limit solver","prompt":"What is the limit of (x^2 - 1)/(x - 1) as x approaches 1 from both sides?"},{"title":"One-sided discontinuity check","prompt":"Compute the left-hand limit of 1/(x - 2) as x approaches 2 — I need to know what value it approaches from the left."},{"title":"Agent pipeline calculus step","prompt":"In my math tutoring agent, evaluate the limit of (e^x - 1)/x as x approaches 0 from both directions and return the result."}],"resultDescription":"Returns a JSON object with a boolean success flag, a result object containing the computed limit value (which may be a finite number, infinity, or undefined if the limit does not exist), and a human-readable computation string describing what was evaluated.","failureModes":["Invalid or unparseable function string returns an error","Limit does not exist (e.g. oscillating functions) may return undefined or NaN","Division by zero or indeterminate forms may produce unexpected symbolic results","Unsupported mathematical syntax in fn string causes parsing failure","x0 at a removable discontinuity may require careful interpretation of direction","Missing required fields fn or x0 returns a 400-style error"],"whenToPreferThis":"Use this endpoint when you need a reliable, dependency-free numerical or symbolic limit computation for a single function and point — especially in agentic math pipelines where you want a clean REST call without spinning up a local CAS (computer algebra system). It is well-suited for calculus education tools, symbolic math agents, and financial modeling tasks that require convergence analysis. Prefer this over general-purpose LLM math reasoning when you need deterministic, precise numeric results rather than approximate prose answers.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T18:56:26.138Z","isFirstParty":false}