if lim f(x) = 2 and lim k(x) = -9, what is the value of lim k(x) - f(x)?

Answer:

-11

Explanation:

Step1: Apply limit - difference rule

$\lim_{x\rightarrow3}[k(x)-f(x)]=\lim_{x\rightarrow3}k(x)-\lim_{x\rightarrow3}f(x)$

Step2: Substitute given limits

$=-9 - 2$

Step3: Calculate result

$=-11$