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If I want to show that, as $x\to x_0$, the function $f(x)$ decreases to some value at least as fast as $1/x$, is this saying that one wants to show that $f(x)\in O(1/x)$ as $x\to x_0$?

Or does the "at least" rather mean the little-oh idea, i.e. $f(x)\in o(1/x)$ as $x\to x_0$?

Salamo
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1 Answers1

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“At least” means non-strict inequality ($\le$) so it means Big Oh ($\mathcal{O}$).

Benjamin Wang
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