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→Definition of heavy-tailed distribution
An implication of this is that
An implication of this is that
<math>
<math>
\lim_{x \to \infty} e^{t x}\Pr[X>x] = \infty \quad \mbox{for all } t>0.\,
\lim_{x \to \infty} e^{t x}\Pr[X>x] = \infty \quad \mbox{for all } t>0.\,
</math>
</math> if