if lim k(x) = -10, what is the value of lim k(x) + x? x→2 x→2

Answer:

-8

Explanation:

Step1: Apply limit - sum rule

$\lim_{x\rightarrow2}[k(x)+x]=\lim_{x\rightarrow2}k(x)+\lim_{x\rightarrow2}x$

Step2: Find $\lim_{x\rightarrow2}x$

$\lim_{x\rightarrow2}x = 2$

Step3: Substitute known values

Since $\lim_{x\rightarrow2}k(x)=- 10$, then $\lim_{x\rightarrow2}k(x)+\lim_{x\rightarrow2}x=-10 + 2=-8$