if lim k(x) = -9, what is the value of lim xk(x)? x→1 x→1

Answer:

-9

Explanation:

Step1: Apply limit - product rule

$\lim_{x\rightarrow1}[xk(x)]=\lim_{x\rightarrow1}(x)\cdot\lim_{x\rightarrow1}k(x)$

Step2: Evaluate $\lim_{x\rightarrow1}(x)$

$\lim_{x\rightarrow1}(x)=1$

Step3: Substitute known values

Since $\lim_{x\rightarrow1}(x) = 1$ and $\lim_{x\rightarrow1}k(x)=-9$, then $1\times(-9)=-9$