So the problem is [tex]\displaystyle{\int_e^{\infty}\, \frac{1}{x\, \log(x)}\, dx}[/tex]

I know I would need to get the limit from n to infinity and swap infinity in the integral with n.

I don't know what to do with (1/(xlnx))dx . I cant do by sums and wen I do by parts I cant find dv which I set to ln(x)^(-1)dx. Im just not sure where to go with this...

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