Use the direct comparison test $to$ determine

whether ${\displaystyle \underset{n=1}{\overset{}{}}}\frac{1}{n-lnn}$ converges $or$ diverges.

Select one:

$a.$ Converges $by$ comparison with ${\displaystyle \underset{n=1}{\overset{}{}}}\frac{1}{n}.$

$b.$ Converges $by$ comparison with ${\displaystyle \underset{n=1}{\overset{}{}}}\frac{1}{nlnn}.$

$c.$ Diverges $by$ comparison with ${\displaystyle \underset{n=1}{\overset{}{}}}\frac{1}{n}.$

$d.$ Diverges $by$ comparison with ${\displaystyle \underset{n=1}{\overset{}{}}}\frac{1}{lnn}.$