Question

Find the limit, picture provided

Answer 1

Answer:

C

Step-by-step explanation:

You are given that

• $\lim_{x \to 4} f(x)=5;$
• $\lim_{x \to 4} g(x)=0;$
• $\lim_{x \to 4} h(x)=-2.$

Use the rule

$\lim_{x\to x_0}(f(x)+g(x))=\lim_{x\to x_0} f(x)+\lim_{x \to x_0} g(x).$

In your case,

$\lim_{x\to4}(f+g)(x)=\lim_{x\to4} (f(x)+g(x))= \lim_{x\to4} f(x)+ \lim_{x\to 4} g(x)=5+0=5.$