5658. Proving that lim xua f 1x2 3 L Use the following
Chapter 2, Problem 56(choose chapter or problem)
5658. Proving that lim xua f 1x2 3 L Use the following definition for the nonexistence of a limit. Assume f is defined for all values of x near a, except possibly at a. We write lim xSa f 1x2 L if for some e 7 0, there is no value of d 7 0 satisfying the condition f 1x2 - L 6 e whenever 0 6 x - a 6 d. For the following function, note that lim xS2 f 1x2 _ 3. Find all values of e 7 0 for which the preceding condition for nonexistence is satisfied. 1 2 3 4 x 6 1 2 3 4 5 y 0 y _ f (x)
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