I am a bit confused here of whether the following functions diverge or converge. [tex]\sum[/tex] [tex]\ln x \backslash x[/tex] I used teh Integral test and got an answer showing the series is divergent where Code (Text): lim ((ln b)^2) / 2 = infinity b-> infinity Is this correct? I graphed the equation and saw an answer such that the equation converged to 0. [tex]\sum[/tex] 2/(x (lnx)^2) I don't think I did this right either. Using the integral test I got Code (Text): lim -2/(ln b) + 2 / ln(2) = 2 / ln(2) b-> infinity So it converges to 2 / ln(2) Am I allowed to assume that -2/(ln b) -> 0 as b-> infinity?