Question

The graph of the the function f(x) is given below.

Find

`\lim_(x \to 0\zero) f(x)`

`\lim_(x \to 1+\oneplus) f(x)`

`\lim_(x \to 0-\zeroneg) f(x)`

Answer 1

• dne
• 1
• -4

Explanation:

1. As x approaches zero from the right, the line representing f(x) approaches 0. As x approaches zero from the left, the line representing f(x) approaches -4 (this is the answer to the 3rd part). These two limits are different, so the limit as x approaches zero is said to be "does not exist."

2. The line representing f(x) approaches 1 as x approaches 1 from the right. The limit is 1.

3. See 1. above. The limit is -4.