Talk:Function of several real variables: Difference between revisions

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m Signing comment by Hojahs - "Minor edit: Section on continuity and limit: new section"
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The statement
If '''a''' is in the interior of the ___domain, the limit exists if and only if the function is continuous at '''a'''.
is technically incorrect, as continuity is a stronger condition than the existence of a limit. Specifically, f is continous at '''a''' if and only if the limit exists AND agrees with the value f('''a'''). <!-- Template:Unsigned --><span class="autosigned" style="font-size:85%;">—&nbsp;Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[User:Hojahs|Hojahs]] ([[User talk:Hojahs#top|talk]] • [[Special:Contributions/Hojahs|contribs]]) 05:30, 25 November 2020 (UTC)</span> <!--Autosigned by SineBot-->