Revision as of 07:52, 7 September 2019 edit John Baez (talk \| contribs) Extended confirmed users 2,516 edits m →Number theoretic significance: added link ← Previous edit		Revision as of 21:53, 19 September 2019 edit undo 132.62.88.130 (talk) →Asymptotic expansion: -Note Next edit →
Line 70: :<math> \operatorname{li}(x) - {x\over \ln x} = O \left( {x\over \ln^2 x} \right) \; . </math> ~~Note that, as~~As an asymptotic expansion, this series is [[divergent series\|not convergent]]: it is a reasonable approximation only if the series is truncated at a finite number of terms, and only large values of ''x'' are employed. This expansion follows directly from the asymptotic expansion for the [[exponential integral]]. This implies e.g. that we can bracket li as:

Logarithmic integral function: Difference between revisions