Compute the value of the following improper integral, if it converges. (If it diverges, enter oo if it diverges to infinity, -oo if it diverges to negative infinity, or DNE if it diverges for some other reason.) Hint: integrate by parts. S 00 ∞ 2 ln(x) x5 dx What does the value of the improper integral tell use about the convergence of the 2 ln(n) series Σ n5 n=1 -? = O the series diverges O the series converges O the Integral Test does not apply

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