Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The expression [tex]\lim_{x\rightarrow 3} \frac{2x^2-x+15}{x^3-5x-12}[/tex] is used to denote the function's behavior as [tex]x[/tex] approaches 3.
From the graph we see that the closer we get to [tex]x=3[/tex], the closer we get to [tex]0.5[/tex]. Therefore, as [tex]x[/tex] approaches 3, [tex]f(x)[/tex] approaches 0.5, hence [tex]\implies \boxed{\frac{1}{2}}[/tex]
