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

Answer:

8

Explanation:

Step1: Use limit - sum rule

$\lim_{x\rightarrow - 2}[x + h(x)]=\lim_{x\rightarrow - 2}x+\lim_{x\rightarrow - 2}h(x)$

Step2: Find $\lim_{x\rightarrow - 2}x$

$\lim_{x\rightarrow - 2}x=-2$

Step3: Substitute known values

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