$(2$ points$)$ Evaluate the limit of the sequence $\{a_n{\}}_n=1^{},$ if it exists, where $a_n=\frac{lnn}{ln(bn)},b>2.$

$($A$)\frac{1}{b^2}$

$($B$)\frac{1}{lnb}$

$($C$)1$

$($D$)$ The sequence diverges

$($E$)b^2$

$($F$)\frac{1}{2}$

$($G$)2$

$($H$)$ None of those