if lim h(x) = -3, what is the value of lim h(x) + 10? x→-5 x→-5

Answer:

7

Explanation:

Step1: Apply limit - sum rule

$\lim_{x\rightarrow - 5}[h(x)+10]=\lim_{x\rightarrow - 5}h(x)+\lim_{x\rightarrow - 5}10$

Step2: Substitute known limit value

Since $\lim_{x\rightarrow - 5}h(x)=-3$ and $\lim_{x\rightarrow - 5}10 = 10$, then $-3 + 10=7$