{"uid":"cap_jT11GYBWxt_zJbLw_3pjg","slug":"numora-calculus-limit-computation-19de7c6e","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://numomo.vercel.app/api/calculus/limit","method":"POST","headers":{},"bodySchema":{"type":"object","required":["fn","x0"],"properties":{"fn":{"type":"string"},"x0":{"type":"number"},"direction":{"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_0Ei05xRMGSoLQe5OZtCzL","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 value, with optional directional control","exampleAgentPrompt":"Can you compute the limit of sin(x)/x as x approaches 0 from the right?","exampleUseCases":[{"title":"Verify calculus homework limit","prompt":"What is the limit of (x^2 - 1)/(x - 1) as x approaches 1? Show me the result."},{"title":"One-sided limit at discontinuity","prompt":"Calculate the left-hand limit of 1/x as x approaches 0 — I need to know what it approaches from the negative side."},{"title":"Check continuity at a point","prompt":"Compute the limit of the function (e^x - 1)/x as x approaches 0 so I can verify whether the function is continuous there."}],"resultDescription":"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').","failureModes":["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"],"whenToPreferThis":"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.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-13T18:48:37.473Z","isFirstParty":false}