Question

If $\underset{x\to 3}{lim}(3k+2x^2)=0,$ then $k$ is equal to

• A. $-6$
• B. $6$
• C. $1$
• D. $-1$

Answer 1

The correct option is A $-6$

Given that $\underset{x\to 3}{lim}(3k+2x^2)=0$
To evaluate the limit of a polynomial function, use direct substitution.
$\Rightarrow 3k+2\times (3{)}^2=0$
$\Rightarrow k=-6$