5. Which of the following ensures that a function f is continuous at 3? (a) lim...

  

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5. Which of the following ensures that a function f is continuous at 3? (a) lim f(x) exists. (b) f(3) exists. (c) lim f(x) = f(3). 2-3 (d) All of the above. (e) None of the above. Answer: Problem 6. (1 point) Why is the following function discontinuous at æ 0? (a) f(0) does not exist. (b) lim f(x) does not exist (or is infinite). 20 (c) Both (a) and (b). (d) f(0) and lim f(x) exist, but they are not equal. →0 if a < 0 *-(E8 f(x) = ² ifr 20 5. Which of the following ensures that a function f is continuous at 3? (a) lim f(x) exists. (b) f(3) exists. (c) lim f(x) = f(3). 2-3 (d) All of the above. (e) None of the above. Answer: Problem 6. (1 point) Why is the following function discontinuous at æ 0? (a) f(0) does not exist. (b) lim f(x) does not exist (or is infinite). 20 (c) Both (a) and (b). (d) f(0) and lim f(x) exist, but they are not equal. →0 if a < 0 *-(E8 f(x) = ² ifr 20

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