{
  "aliases": null,
  "backlinks": [
    {
      "field": "instance_of",
      "target": "01X5CVV1Q5"
    },
    {
      "field": "instance_of",
      "target": "0G4D3ZKTP8"
    },
    {
      "field": "instance_of",
      "target": "0GT85FBPTS"
    },
    {
      "field": "instance_of",
      "target": "0JQ5Y3WWVE"
    },
    {
      "field": "instance_of",
      "target": "Q958DANJNA"
    },
    {
      "field": "defines",
      "target": "0CVVKY7GY2"
    },
    {
      "field": "specializes",
      "target": "0NE233WGD1"
    },
    {
      "field": "specializes",
      "target": "0YBDSJARWN"
    },
    {
      "field": "specializes",
      "target": "2ME9M61TJK"
    },
    {
      "field": "uses",
      "target": "8PZPMF2QJD"
    },
    {
      "field": "uses",
      "target": "Z5G5JPT022"
    }
  ],
  "body": "\n## Summary\n\nA convergent series is a series whose sequence of partial sums has a finite limit. Many tests decide whether a given series converges. The node [[convergent series|0CVVKY7GY2]] gives the precise definition.\n",
  "commit": "ff8a40749dc16545e3d2fc637f6b0196e81d0bfa",
  "front": {
    "inventory": [
      "ANWN0Z1HYT"
    ],
    "kind": "concept",
    "msc": [
      "40A05"
    ],
    "name": "Convergent series",
    "same_as": {
      "wikidata": "Q1211057",
      "wikipedia": "Convergent series"
    },
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/Convergent_series"
      }
    ],
    "specializes": [
      "0NM626FH6Q"
    ],
    "tag": "0AF7X08PCR"
  },
  "kind": "concept",
  "link": "https://tamnd.github.io/math2/node/0AF7X08PCR/",
  "links": [
    {
      "field": "specializes",
      "target": "0NM626FH6Q"
    }
  ],
  "markdown": "https://tamnd.github.io/math2/node/0AF7X08PCR.md",
  "msc": [
    "40A05"
  ],
  "name": "Convergent series",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0AF/0AF7X08PCR.md",
  "status": null,
  "tag": "0AF7X08PCR",
  "uri": "m2://0AF7X08PCR",
  "url": "https://tamnd.github.io/math2/wiki/convergent-series/",
  "writing": {
    "tag": "0AF7X08PCR",
    "kind": "concept",
    "level": "W1",
    "next": [
      {
        "what": "edge not_instance_of in",
        "note": "at least one non-example",
        "have": 0,
        "want": 1
      }
    ]
  }
}
