if lim k(x) = -6, what is the value of lim -2 - k(x)? x→-14 x→-14

Answer:

4

Explanation:

Step1: Apply limit - difference rule

$\lim_{x\rightarrow - 14}[-2 - k(x)]=\lim_{x\rightarrow - 14}(-2)-\lim_{x\rightarrow - 14}k(x)$

Step2: Evaluate $\lim_{x\rightarrow - 14}(-2)$

Since - 2 is a constant, $\lim_{x\rightarrow - 14}(-2)=-2$

Step3: Substitute given value of $\lim_{x\rightarrow - 14}k(x)$

We know $\lim_{x\rightarrow - 14}k(x)=-6$. Then $\lim_{x\rightarrow - 14}(-2)-\lim_{x\rightarrow - 14}k(x)=-2-(-6)$

Step4: Simplify the expression

$-2 - (-6)=-2 + 6=4$