if lim h(x) = 0, what is the value of lim x + h(x)?

Answer:

5

Explanation:

Step1: Use limit - sum rule

$\lim_{x\rightarrow5}[x + h(x)]=\lim_{x\rightarrow5}x+\lim_{x\rightarrow5}h(x)$

Step2: Evaluate $\lim_{x\rightarrow5}x$

$\lim_{x\rightarrow5}x = 5$

Step3: Substitute $\lim_{x\rightarrow5}h(x)$ value

Given $\lim_{x\rightarrow5}h(x)=0$, so $5 + 0=5$