Q$2(4$ points$)$

Suppose a$\_($n$)=($ln$($n$))/($ln$(2$n$))$ is the nth term of a sequence.

$($a$)$ Determine whether the sequence $\{$a$\_($n$)\}$ converges or diverges

$($b$)$ Determine whether the series $\backslash$sum$\_($n$=1)^(\backslash$infty $)($ln$($n$))/($ln$(2$n$))$ converges or diverges. Explain your reasoning.