Question

"Use the given graph to determine the limit, if it exists.

A coordinate graph is shown with a horizontal line crossing the y-axis at three that ends at the open point 2, 3, a closed point at 2, 1, and another horizontal line starting at the open point 2, -3.

Find limit as x approaches two from the left of f of x. and limit as x approaches two from the right of f of x. "

Answer 1

 $\lim_{x \to 2} f(x)=3$ ( x approaches 2 from the left )
$\lim_{x \to 2} f ( x ) = -3$ ( x approaches 2 from the right )

Answer 2

The correct answer is:

The limit of f(x) as x approaches 2 from the left is 3. This is represented algebraically by

$\lim_{x \to 2} f(x) =3$

The limit of f(x) as x approaches 2 from the right is -3. This is represented algebraically by

$\lim_{x \to 2} f(x)=-3$

Explanation:

From the left, we have a horizontal line approaching the value x=2. When we get to this point, the horizontal line stops at (2, 3). This means the limit is 3.

From the right, we have a horizontal line approaching the value x=2. When we get to this point, the horizontal line stops at (2, -3). This means the limit is -3.