Question

Find the limit, picture provided

Answer 1

C

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.`