{"uid":"cap_vjsNDCThap8gRH7VcHpev","slug":"numora-calculus-limit-computation-b59aeafa","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://numormor.netlify.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":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":{"p10Cents":"10.0000","medianCents":"10.0000","p90Cents":"10.0000","minCents":"10.0000","maxCents":"10.0000","p95Cents":"10.0000","sampleCount":1,"varies":false,"failureChargeRate":1},"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_ca2arnvfES9FOM9PxXVm3","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.1","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, with optional direction control","exampleAgentPrompt":"Calculate the limit of sin(x)/x as x approaches 0 from the right — give me the exact result.","exampleUseCases":[{"title":"Evaluate discontinuity in piecewise function","prompt":"I need to check if this piecewise function is continuous at x=2. Can you compute the left-hand limit and right-hand limit of (x² - 4)/(x - 2) as x approaches 2 from both sides? Let me know if they match."},{"title":"Find asymptotic behavior for rational expressions","prompt":"What happens to this rational function (3x² + 2x)/(5x² - 1) as x approaches infinity? I need the exact limit value to understand the horizontal asymptote."},{"title":"Solve calculus homework limit problems","prompt":"My student is stuck on finding the limit of (e^x - 1)/x as x approaches 0. Can you compute that and show me the exact result so I can explain the concept to them?"}],"resultDescription":"Returns a JSON object with a result object containing the computed limit value, a boolean success field, and a human-readable computation string describing what was calculated.","failureModes":["Invalid or unparseable function expression returns error","Non-numeric x0 causes validation failure","Limit does not exist at the given point (e.g. oscillating function)","Infinite or undefined limit returned as special value","Direction parameter with invalid value (not 'left', 'right', or omitted)","Payment not received results in 402 response"],"whenToPreferThis":"Use this endpoint when an AI agent needs to numerically or symbolically evaluate the limit of a mathematical function at a specific point, especially for calculus tasks, educational tools, or scientific computations. Prefer this over general-purpose math libraries when you need a hosted, zero-dependency, micropayment-gated pure math computation with no setup.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T06:46:24.252Z","isFirstParty":false}