"convergent sequence" meaning in English

{
  "forms": [
    {
      "form": "convergent sequences",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "convergent sequence (plural convergent sequences)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "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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          "name": "Terms with Serbo-Croatian translations",
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematical analysis",
          "orig": "en:Mathematical analysis",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "a sequence which converges"
      ],
      "id": "en-convergent_sequence-en-noun-s3cHgVLT",
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "converge",
          "converge"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) a sequence which converges"
      ],
      "related": [
        {
          "word": "convergent series"
        }
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "de",
          "lang": "German",
          "sense": "convergent sequence",
          "tags": [
            "feminine"
          ],
          "word": "konvergente Folge"
        },
        {
          "code": "ro",
          "lang": "Romanian",
          "sense": "convergent sequence",
          "tags": [
            "neuter"
          ],
          "word": "șir convergent"
        },
        {
          "code": "sh",
          "lang": "Serbo-Croatian",
          "sense": "convergent sequence",
          "tags": [
            "masculine"
          ],
          "word": "konvergentni niz"
        }
      ]
    }
  ],
  "word": "convergent sequence"
}

{
  "forms": [
    {
      "form": "convergent sequences",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
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      "expansion": "convergent sequence (plural convergent sequences)",
      "name": "en-noun"
    }
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "convergent series"
    }
  ],
  "senses": [
    {
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        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with German translations",
        "Terms with Romanian translations",
        "Terms with Serbo-Croatian translations",
        "en:Mathematical analysis"
      ],
      "glosses": [
        "a sequence which converges"
      ],
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "converge",
          "converge"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) a sequence which converges"
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "de",
      "lang": "German",
      "sense": "convergent sequence",
      "tags": [
        "feminine"
      ],
      "word": "konvergente Folge"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "convergent sequence",
      "tags": [
        "neuter"
      ],
      "word": "șir convergent"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "convergent sequence",
      "tags": [
        "masculine"
      ],
      "word": "konvergentni niz"
    }
  ],
  "word": "convergent sequence"
}