F: The open$-$loop transfer function $G(s)$ of a unity$-$feedback control system is

$G(s)=K(\frac{s+\frac{2}{3}}{s^2(s+2)})$

as $K$ goes to positive infinity, which of the following can be inferred from the root locus?

Three real roots are found in the right$-$half of the $s-$plane.

The root loci cross the jwaxis for a finite value of $K.$

Three roots with nearly equal real parts exist in the left$-$half of the $s-$plane.

One real root goes to negative infinity.

One real root is found in the right$-$half of the $s-$plane.