Explain why or why not Determine whether the
Chapter 2, Problem 59(choose chapter or problem)
Explain why or why not Determine whether the following statements are true and give an explanation or counterexample. Assume a and L are finite numbers. a. If lim xSa f 1x2 = L, then f 1a2 = L. b. If lim xSaf 1x2 = L, then lim xSa+ f 1x2 = L. c. If lim xSa f 1x2 = L and lim xSa g1x2 = L, then f 1a2 = g1a2. d. The limit lim xSa f 1x2 g1x2 does not exist if g1a2 = 0. e. If lim xS1+ 2f 1x2 = 4lim xS1+ f 1x2, it follows that lim xS1 2f 1x2 = 4lim xS1 f 1x2.
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