Evaluate the following limits$.$ If needed, enter INF for $$ and MINF for $-.$

$($a$)$

$\underset{x}{lim}\frac{\sqrt[\phantom{2}]{9+2x^2}}{6+8x}=$

$$

The corresponding horizontal asymptote has equation

$y=$

$$

$($Type in DNE if there is no corresponding horizontal asymptote.$)$

$($b$)$

$\underset{x-}{lim}\frac{\sqrt[\phantom{2}]{9+2x^2}}{6+8x}=$

$$

The corresponding horizontal asymptote has equation $y=$

$($Type in DNE if there is no corresponding horizontal asymptote.$)$ What is the solution