&gt; I think that saying that m &quot;equals infinity&quot; is probably a bit of a simplification.<p>Yes, it is, I agree. For the limit example, one might instead say, &quot;As m approaches infinity, the result approaches 1.&quot; By definition, limits approach their target values, they never equal them -- otherwise we would accept division by zero and similar things.<p>The other reason I agree is because infinity isn&#x27;t a number. I&#x27;m guilty of compressing the lexical description of a limit to a ... ahem ... finite size.<p>&gt; ... what is meant in the examples you gave, which are both limits.<p>One of my examples was an infinite sum, not a limit per se, but the same argument can be made, i.e. that infinity is addressed without being literally achieved.