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Line 3: :li(''x'') = <sub>0</sub><font size="+1">∫</font><sup>x</sup> 1/ln ''t'' d''t''. Here, ln denotes the [[natural logarithm]]. The function 1/ln ''t'' has a [[mathematical singularity\|singularity]] at ''t'' = 1, and the integral for ''x'' > 1 has to be interpreted as ''Cauchy's principal value'':

Logarithmic integral function: Difference between revisions