if lim k(x) = -9, what is the value of lim xk(x)? x→-16 x→-16

Answer:

144

Explanation:

Step1: Apply limit - product rule

$\lim_{x\rightarrow - 16}[xk(x)]=\lim_{x\rightarrow - 16}x\cdot\lim_{x\rightarrow - 16}k(x)$

Step2: Find $\lim_{x\rightarrow - 16}x$

$\lim_{x\rightarrow - 16}x=-16$

Step3: Substitute known values

Since $\lim_{x\rightarrow - 16}x=-16$ and $\lim_{x\rightarrow - 16}k(x)=-9$, then $(-16)\times(-9) = 144$.