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26. If [x] is the greatest integer in x, then what is lim [x+1]? 7111

26. If [x] is the greatest integer in x, then what is lim [x+1]? 7111

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 8E
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21. 22. 23. 24. 25. lim xcsc x is 110 (A) - 0⁰ 2x² +1 x-(2-x)(2+ x) (A) -4 lim |x| lim is x-0 x (A) 0 (A) 0 (B)-1 1 lim xsin is X lim X-X (A) 1 27. Let f(x) = (B)-2 sin(-x) π-X 29. If (B) nonexistent (B) ∞ is (B) 0 is x²-1 [ƒ(x) = x²_ 2x (C) 1 (C) 0 if x # 1, if x = 1. (C) nonexistent (C) ∞ (D) nonexistent 26. If [x] is the greatest integer in x, then what is lim [x+1]? x--1 (A) -1 (B) 0 (C) 1 for x = 0, 30. Suppose f(1) = −3, |f(2)= 4. (C) 1 (A) only I (B) only II (C) I and II (E) all of them (D) 1 (D) 2 [f(x) = 3x(x-1) x²-3x+2 Then f(x) is continuous (A) except at x = 1 (B) (D) except at x = 0, 1, or 2 f(0) = k₁ and iffis continuous at x = 0, then k = (A) -1 (B) --/12 (C) 0 (D) 2 Which of the following statements, I, II, and III, are true? I. lim f(x) exists II. f(1) exists III. f is continuous at x = 1 x-1 (D) none of them (D) (E) ∞ for x 1, 2, (E) nonexistent (D) - 1 (D) - 1 1 (E) none of these (E) none of these (E) 1 (E) The limit does not exist. (E) 1 except at x = 2 (C) except at x = 1 or 2 (E) at each real number
Transcribed Image Text:21. 22. 23. 24. 25. lim xcsc x is 110 (A) - 0⁰ 2x² +1 x-(2-x)(2+ x) (A) -4 lim |x| lim is x-0 x (A) 0 (A) 0 (B)-1 1 lim xsin is X lim X-X (A) 1 27. Let f(x) = (B)-2 sin(-x) π-X 29. If (B) nonexistent (B) ∞ is (B) 0 is x²-1 [ƒ(x) = x²_ 2x (C) 1 (C) 0 if x # 1, if x = 1. (C) nonexistent (C) ∞ (D) nonexistent 26. If [x] is the greatest integer in x, then what is lim [x+1]? x--1 (A) -1 (B) 0 (C) 1 for x = 0, 30. Suppose f(1) = −3, |f(2)= 4. (C) 1 (A) only I (B) only II (C) I and II (E) all of them (D) 1 (D) 2 [f(x) = 3x(x-1) x²-3x+2 Then f(x) is continuous (A) except at x = 1 (B) (D) except at x = 0, 1, or 2 f(0) = k₁ and iffis continuous at x = 0, then k = (A) -1 (B) --/12 (C) 0 (D) 2 Which of the following statements, I, II, and III, are true? I. lim f(x) exists II. f(1) exists III. f is continuous at x = 1 x-1 (D) none of them (D) (E) ∞ for x 1, 2, (E) nonexistent (D) - 1 (D) - 1 1 (E) none of these (E) none of these (E) 1 (E) The limit does not exist. (E) 1 except at x = 2 (C) except at x = 1 or 2 (E) at each real number
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