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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

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What does integrability of a strictly monotonic function imply about the tails of that funct...

In particular, if $f:\mathbb{R}_{+}\rightarrow[0,1]$ is a strictly monotonic decreasing function and $f$ is integrable then does it necessarily hold that $f^{-1}(1/t)=o(t)$?
Victor Veitch's user avatar