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, negative 1 and continues to the right. 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

Answers:

1. Limit as x approaches two from the left of f of x: 3

2. Limit as x approaches two from the right of f of x: - 1 (negative 1)

Solution:

1. Find limit as x approaches two from the left of f of x:

Lim x→2- f(x) = ?

According with the graph, when x approaches two from the left (x<2), the function approaches to 3:

Lim x→2- f(x) = 3

2. Find limit as x approaches two from the right of f of x:

Lim x→2+ f(x) = ?

According with the graph, when x approaches two from the right (x>3), the function approaches to -1:

Lim x→2+ f(x) = - 1