"upper limit" meaning in English

{
  "antonyms": [
    {
      "word": "lower limit"
    }
  ],
  "forms": [
    {
      "form": "upper limits",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "upper limit (plural upper limits)",
      "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"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematical analysis",
          "orig": "en:Mathematical analysis",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The upper limit of a sequence of real numbers is the real number which can be found as follows: remove the first term of the sequence in order to obtain the \"first subsequence.\" Then remove the first term of the first subsequence in order to obtain the \"second subsequence.\" Repeat the removal of first terms in order to obtain a \"third subsequence,\" \"fourth subsequence,\" etc. Find the supremum of each of these subsequences, then find the infimum of all of these supremums. This infimum is the upper limit."
      ],
      "id": "en-upper_limit-en-noun-pfc-uTsU",
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "real numbers",
          "real numbers"
        ],
        [
          "supremum",
          "supremum"
        ],
        [
          "infimum",
          "infimum"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) The upper limit of a sequence of real numbers is the real number which can be found as follows: remove the first term of the sequence in order to obtain the \"first subsequence.\" Then remove the first term of the first subsequence in order to obtain the \"second subsequence.\" Repeat the removal of first terms in order to obtain a \"third subsequence,\" \"fourth subsequence,\" etc. Find the supremum of each of these subsequences, then find the infimum of all of these supremums. This infimum is the upper limit."
      ],
      "synonyms": [
        {
          "word": "limit superior"
        }
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "the upper limit of a sequence of real numbers",
          "word": "yläraja-arvo"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "the upper limit of a sequence of real numbers",
          "word": "yläraja"
        }
      ]
    }
  ],
  "word": "upper limit"
}

{
  "antonyms": [
    {
      "word": "lower limit"
    }
  ],
  "forms": [
    {
      "form": "upper limits",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "upper limit (plural upper limits)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Mathematical analysis"
      ],
      "glosses": [
        "The upper limit of a sequence of real numbers is the real number which can be found as follows: remove the first term of the sequence in order to obtain the \"first subsequence.\" Then remove the first term of the first subsequence in order to obtain the \"second subsequence.\" Repeat the removal of first terms in order to obtain a \"third subsequence,\" \"fourth subsequence,\" etc. Find the supremum of each of these subsequences, then find the infimum of all of these supremums. This infimum is the upper limit."
      ],
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "real numbers",
          "real numbers"
        ],
        [
          "supremum",
          "supremum"
        ],
        [
          "infimum",
          "infimum"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) The upper limit of a sequence of real numbers is the real number which can be found as follows: remove the first term of the sequence in order to obtain the \"first subsequence.\" Then remove the first term of the first subsequence in order to obtain the \"second subsequence.\" Repeat the removal of first terms in order to obtain a \"third subsequence,\" \"fourth subsequence,\" etc. Find the supremum of each of these subsequences, then find the infimum of all of these supremums. This infimum is the upper limit."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "limit superior"
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "the upper limit of a sequence of real numbers",
      "word": "yläraja-arvo"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "the upper limit of a sequence of real numbers",
      "word": "yläraja"
    }
  ],
  "word": "upper limit"
}