Logarithmic integral function: Difference between revisions

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m Asymptotic expansion: Use just regular O in big-O notation (like in the big-O article)
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The asymptotic behavior for ''x'' → ∞ is
 
:<math> {\rm li} (x) = \mathcal{O} \left( {x\over \ln x} \right) \; . </math>
 
where <math>\mathcal{O}</math> is the [[big O notation]]. The full [[asymptotic expansion]] is
 
:<math> {\rm li} (x) \sim \frac{x}{\ln x} \sum_{k=0}^\infty \frac{k!}{(\ln x)^k} </math>