Please see attachment. thanks.
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integrate by letting u = ln(x) du=1/x
so integral(1/u^2) aka integral(u^-2)
solved as -1/u resubstituting -1/(lnx)
-1/(ln(infinity)) - -1/(ln(e))
the left side approaches 0 and the right side approaches -1 so 0-(-1) means the limit should converge to 1
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