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 minus infinity, or DNE otherwise (hint: integrate by parts).


$\displaystyle {\int_{{1}}^{{\infty}}}{\frac{{{8}{\ln{{\left({x}\right)}}}}}{{{x}^{{8}}}}}{\left.{d}{x}\right.}$

Preview Question 6 Part 1 of 2  
Determine whether
$\displaystyle {\sum_{{{n}={1}}}^{\infty}}{\left({\frac{{{8}{\ln{{\left({n}\right)}}}}}{{{n}^{{8}}}}}\right)}$
is a convergent series. Enter C if the series is convergent, or D if it is divergent.