Question: 22. Let f(x) = x-1 if x # 1 if x = 1. Which of the following statements is (are) true? I. lim f(x) exists

22. Let f(x) = x-1 if x # 1 if x

22. Let f(x) = x-1 if x # 1 if x = 1. Which of the following statements is (are) true? I. lim f(x) exists II. f(1) exists III. fis continuous at x = ] a ) (A) Ionly (B) II only (C) I and II (D) none of I, II, or III (E) all of I, II, or III x-x 23. If 1 (x ) = 2x for x # 0, f(0) = k, (30 and if f is continuous at x = 0, then k = (A) -1 (B) (C) 0 (D) N 2 (E) 1 f (x) = 3x(x -1) x2 - 3x +2 for x # 1,2. 24. Suppose f(1) = -3; f (2) = 4. Then f(x) is continuous (A) except at x = 1 (B) except at x =2 (C) except at x = 1 or 2 (D) except at x = 0, 1, or 2 (E) at each real number 25. The graph of f(x) = 2_ has 81 one vertical asymptote, at x = 1 (B) the y-axis as vertical asymptote (C) the x-axis as horizontal asymptote and x = +1 as vertical asymptotes (D) two vertical asymptotes, at x = #1, but no horizontal asymptote (E) no asymptote

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