Answer:
C
Step-by-step explanation:
You are given that
- [tex]\lim_{x \to 4} f(x)=5;[/tex]
- [tex]\lim_{x \to 4} g(x)=0;[/tex]
- [tex]\lim_{x \to 4} h(x)=-2.[/tex]
Use the rule
[tex]\lim_{x\to x_0}(f(x)+g(x))=\lim_{x\to x_0} f(x)+\lim_{x \to x_0} g(x).[/tex]
In your case,
[tex]\lim_{x\to4}(f+g)(x)=\lim_{x\to4} (f(x)+g(x))= \lim_{x\to4} f(x)+ \lim_{x\to 4} g(x)=5+0=5.[/tex]
