Question

The graph of a function f is shown. The x-y coordinate plane is given. A curve with 4 parts is graphed. The first part enters the window in the second quadrant, goes down and right, changes direction at (-2.4, 1.6), goes up and right, changes direction at (-1.3, 3.4), goes down and right, crosses the x-axis at x = -0.1, and ends at the open point (0, -1). The second part is the point (0, 3). The third part starts at the open point (0, -1), goes up and right, crosses the x-axis at x = 0.1, changes direction at (1, 3), goes down and right, and ends at the open point (2, 2). The fourth part starts at the point (2, 1), goes down and right, changes direction at (2.4, 0.2), goes up and right, and exits the window in the first quadrant. Graphically determine whether the given limits exist. If a limit does exist, give its approximate value. (If an answer does not exist, enter DNE.) (a) lim x→0 f(x) (b) lim x→1 f(x) (c) lim x→2 f(x)

          The graph of a function f is shown.
The x-y coordinate plane is given. A curve with 4 parts is graphed. 
The first part enters the window in the second quadrant, goes down and right, changes direction at (-2.4, 1.6), goes up and right, changes direction at (-1.3, 3.4), goes down and right, crosses the x-axis at x = -0.1, and ends at the open point (0, -1).
The second part is the point (0, 3).
The third part starts at the open point (0, -1), goes up and right, crosses the x-axis at x = 0.1, changes direction at (1, 3), goes down and right, and ends at the open point (2, 2).
The fourth part starts at the point (2, 1), goes down and right, changes direction at (2.4, 0.2), goes up and right, and exits the window in the first quadrant.
Graphically determine whether the given limits exist. If a limit does exist, give its approximate value. (If an answer does not exist, enter DNE.)

(a) lim x→0 f(x) 

(b) lim x→1 f(x) 

(c) lim x→2 f(x)

Added by Robert P.

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