if lim k(x) = 0, what is the value of lim k(x) - x? x→ - 8 x→ - 8

Answer:

8

Explanation:

Step1: Use limit - difference rule

$\lim_{x\rightarrow - 8}[k(x)-x]=\lim_{x\rightarrow - 8}k(x)-\lim_{x\rightarrow - 8}x$

Step2: Substitute given limit value

Given $\lim_{x\rightarrow - 8}k(x) = 0$, and $\lim_{x\rightarrow - 8}x=-8$. So, $0-(-8)$

Step3: Simplify the expression

$0 + 8=8$