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So, is $\frac{1}{\infty}$ shorthand for $\lim_{x\to\infty} \frac{1}{x}$ like an improper integral implies a limit being infront of it?

John Smith
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    What, if anything, $1/\infty$ means, depends on the context in which it is used. If you give a full example, we can probably tell you what it means in that example. – Gerry Myerson Oct 15 '20 at 06:29
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    "$\frac{1}{\infty}=0$" is a thumb-rule meaning that a bounded numerator and a denominator tending to $\infty$ or $-\infty$ give a fraction tending to $0$. – Peter Oct 15 '20 at 06:57
  • Any thoughts, John? – Gerry Myerson Oct 16 '20 at 12:05

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