"convergent series" meaning in English

{
  "forms": [
    {
      "form": "convergent series",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "convergent series"
      },
      "expansion": "convergent series (plural convergent series)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "antonyms": [
        {
          "word": "divergent series"
        }
      ],
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
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          "source": "w"
        },
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        {
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          "name": "Terms with Japanese translations",
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        },
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          "kind": "other",
          "name": "Terms with Serbo-Croatian translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Tagalog translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematical analysis",
          "orig": "en:Mathematical analysis",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "An infinite series whose partial sums converge."
      ],
      "id": "en-convergent_series-en-noun-RuVZjIJA",
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "infinite series",
          "infinite series"
        ],
        [
          "partial sum",
          "partial sum"
        ],
        [
          "converge",
          "converge"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) An infinite series whose partial sums converge."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fr",
          "lang": "French",
          "sense": "convergent series",
          "tags": [
            "feminine"
          ],
          "word": "série convergente"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "convergent series",
          "tags": [
            "feminine"
          ],
          "word": "konvergente Reihe"
        },
        {
          "code": "ja",
          "lang": "Japanese",
          "roman": "shūsokukyūsū",
          "sense": "convergent series",
          "word": "収束級数"
        },
        {
          "code": "sh",
          "lang": "Serbo-Croatian",
          "sense": "convergent series",
          "tags": [
            "masculine"
          ],
          "word": "konvergentni red"
        },
        {
          "code": "tl",
          "lang": "Tagalog",
          "sense": "convergent series",
          "word": "palapit na dalayray"
        }
      ]
    }
  ],
  "word": "convergent series"
}

{
  "forms": [
    {
      "form": "convergent series",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "convergent series"
      },
      "expansion": "convergent series (plural convergent series)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "antonyms": [
        {
          "word": "divergent series"
        }
      ],
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        "English countable nouns",
        "English entries with incorrect language header",
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        "Terms with German translations",
        "Terms with Japanese translations",
        "Terms with Serbo-Croatian translations",
        "Terms with Tagalog translations",
        "en:Mathematical analysis"
      ],
      "glosses": [
        "An infinite series whose partial sums converge."
      ],
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "infinite series",
          "infinite series"
        ],
        [
          "partial sum",
          "partial sum"
        ],
        [
          "converge",
          "converge"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) An infinite series whose partial sums converge."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "fr",
      "lang": "French",
      "sense": "convergent series",
      "tags": [
        "feminine"
      ],
      "word": "série convergente"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "convergent series",
      "tags": [
        "feminine"
      ],
      "word": "konvergente Reihe"
    },
    {
      "code": "ja",
      "lang": "Japanese",
      "roman": "shūsokukyūsū",
      "sense": "convergent series",
      "word": "収束級数"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "convergent series",
      "tags": [
        "masculine"
      ],
      "word": "konvergentni red"
    },
    {
      "code": "tl",
      "lang": "Tagalog",
      "sense": "convergent series",
      "word": "palapit na dalayray"
    }
  ],
  "word": "convergent series"
}