Answer:
C. 20
Step-by-step explanation:
The given limit is
[tex]\lim_{x \to 2} (3x^3 +x^2-8)[/tex]
This a limit of a polynomial function.
We plug in the limit directly to obtain;
[tex]\lim_{x \to 2} (3x^3 +x^2-8)=3(2)^3+(2)^2-8[/tex]
We simplify to get;
[tex]\lim_{x \to 2} (3x^3 +x^2-8)=3(8)+4-8[/tex]
[tex]\lim_{x \to 2} (3x^3 +x^2-8)=24+4-8[/tex]
[tex]\lim_{x \to 2} (3x^3 +x^2-8)=20[/tex]
The correct choice is C
