4 Video Example 4 6 EXAMPLE 7 The graph of a function g is

Last updated: 3/3/2024

4 Video Example 4 6 EXAMPLE 7 The graph of a function g is shown in the figure Use it to state the values if they exist of the follow b lim g x c lim g x 2 2 a lim g x x 2 d lim g x e lim g x x 5 x 5 a SOLUTION From the graph we see that the values of g x approach approach as x approaches 2 from the right Therefore f lim g x 5 lim g x and b lim g x x 2 as x approaches 2 from the left but the X 2 c Since the left and right limits are different we conclude that the limit as x approaches 2 of g x does not exist The graph also shows that d lim g x x 5 f This time the left and right limits are the same and so by this theorem we have lim g x 5 Despite this fact notice that g 5 2 and e lim g x x 5