if lim k(x) = 8, what is the value of lim k(x) + 5? x→-7 x→-7

Answer:

13

Explanation:

Step1: Apply limit - sum rule

$\lim_{x\rightarrow - 7}[k(x)+5]=\lim_{x\rightarrow - 7}k(x)+\lim_{x\rightarrow - 7}5$

Step2: Substitute known limit value

Since $\lim_{x\rightarrow - 7}k(x) = 8$ and $\lim_{x\rightarrow - 7}5=5$, then $8 + 5=13$.