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Let $(X, \Omega, \mu)$ be a measure space.

Given that $f(x) = \frac{1}{x(1-\log x)}$, on $[0,1]$, how can I compute $\lim_{\beta\to \infty} \beta \mu(f \geq \beta)$?

  • 0
    I assume $\mu(f\geq \beta)$ is the Lebesgue measure of the set $\{x:f(x)\geq \beta\}$?2012-04-04
  • 0
    It's safe to assume that:)2012-04-04

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