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QUESTIONS: Use the graph of f(x) = x² to find a number ♂ such that| x²-1| < ½ wherever |x-1 <0. 1. 1.5 1 0.5 0 v=x² X 1 ?

QUESTIONS: Use the graph of f(x) = x² to find a number ♂ such that| x²-1| < ½ wherever |x-1 <0. 1. 1.5 1 0.5 0 v=x² X 1 ?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please help me solve these problems and explain them. I have attached the answers sheet
QUESTIONS: 1. 2. 3. 4. Use the graph of f(x) | x-1 <0. a. a. Find the limit. b. C. a. b. C. 1.5 d. e. 0.5 1 0 lim X-1 x →→1 |x-1| lim x→a lim x→a = x² to find a number o such that x²-1 < ½ wherever f(x) exists f(x) = f(a) If a function f is continuous at a, which of the following statements, if any, MUST be true? Justify your answer. f is defined at a. Find lim f(x) X→2+ Find ? lim f(x) X→-1 b. 1 v=x² Where is the function not continuous? Where is the function not differentiable? Find lim f(x) X-→-2 lim xsin x X→→ ∞ 3x+2 C. Let f(x) Find = پت x² -2, x>1 x-1, x≤1 lim f(x) X→ 1+
Transcribed Image Text:QUESTIONS: 1. 2. 3. 4. Use the graph of f(x) | x-1 <0. a. a. Find the limit. b. C. a. b. C. 1.5 d. e. 0.5 1 0 lim X-1 x →→1 |x-1| lim x→a lim x→a = x² to find a number o such that x²-1 < ½ wherever f(x) exists f(x) = f(a) If a function f is continuous at a, which of the following statements, if any, MUST be true? Justify your answer. f is defined at a. Find lim f(x) X→2+ Find ? lim f(x) X→-1 b. 1 v=x² Where is the function not continuous? Where is the function not differentiable? Find lim f(x) X-→-2 lim xsin x X→→ ∞ 3x+2 C. Let f(x) Find = پت x² -2, x>1 x-1, x≤1 lim f(x) X→ 1+
ANSWERS: 1. 0.2247 2. a. undefined b. undefined 3. a. Must be true 4. a. -2, -1, 2 5. 6. a. 1 7. -8 lim sin(x) = 1 X→ 8. 8=0.0115 9. a. 1.5 10. X-00 11. x+c lim f(x) = L lim f(x) = ∞ √√2 -6 12.a. 3 13.a. 2 b. 0 c. undefined -4 b. 0 c. 0 b. b. Must be true b. -2, -1, 0, 1, 2 1 2√2 -------5 b. 80.1194 00 9 -2 + C. -1 -4 -10 c. Must be true C. -1 d. infinity 4 d. 1 6 d. Doesn't have to be true 8 e. 1
Transcribed Image Text:ANSWERS: 1. 0.2247 2. a. undefined b. undefined 3. a. Must be true 4. a. -2, -1, 2 5. 6. a. 1 7. -8 lim sin(x) = 1 X→ 8. 8=0.0115 9. a. 1.5 10. X-00 11. x+c lim f(x) = L lim f(x) = ∞ √√2 -6 12.a. 3 13.a. 2 b. 0 c. undefined -4 b. 0 c. 0 b. b. Must be true b. -2, -1, 0, 1, 2 1 2√2 -------5 b. 80.1194 00 9 -2 + C. -1 -4 -10 c. Must be true C. -1 d. infinity 4 d. 1 6 d. Doesn't have to be true 8 e. 1
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Help me solve problems #3 and explain them. If possible please solve problems 4 thank you 

QUESTIONS: 1. 2. 3. 4. Use the graph of f(x) x-1 <0. a. a. Find the limit. b. C. a. b. C. 1.5 d. e. 1 0.5 0 lim X-1 x →1 |x-1| lim x→a lim x→a = x² to find a number o such that x²-1 < ½ wherever f(x) exists f(x) = f(a) If a function f is continuous at a, which of the following statements, if any, MUST be true? Justify your answer. f is defined at a. Find lim X→2+ Find ? lim f(x) X→-1 b. 1 v=x² Where is the function not continuous? Where is the function not differentiable? Find lim f(x) X-→-2 f(x) lim xsin x X→→ ∞ 3x+2 C. Let f(x) Find = پت x² -2, x>1 x-1, x≤1 lim f(x) X→ 1+
Transcribed Image Text:QUESTIONS: 1. 2. 3. 4. Use the graph of f(x) x-1 <0. a. a. Find the limit. b. C. a. b. C. 1.5 d. e. 1 0.5 0 lim X-1 x →1 |x-1| lim x→a lim x→a = x² to find a number o such that x²-1 < ½ wherever f(x) exists f(x) = f(a) If a function f is continuous at a, which of the following statements, if any, MUST be true? Justify your answer. f is defined at a. Find lim X→2+ Find ? lim f(x) X→-1 b. 1 v=x² Where is the function not continuous? Where is the function not differentiable? Find lim f(x) X-→-2 f(x) lim xsin x X→→ ∞ 3x+2 C. Let f(x) Find = پت x² -2, x>1 x-1, x≤1 lim f(x) X→ 1+
ANSWERS: 1. 0.2247 2. a. undefined b. undefined 3. a. Must be true 4. a. -2, -1, 2 5. 6. a. 1 7. -8 lim sin(x) = 1 X-¹ 8. 8=0.0115 9. a. 1.5 10. X-00 11. x+c lim f(x) = L lim f(x) = ∞ √√2 -6 12.a. 3 13.a. 2 b. 0 c. undefined -4 b. 0 c. 0 b. b. Must be true b. -2, -1, 0, 1, 2 1 2√2 -------5 b. 80.1194 00 9 C. -1 -2 -4 -10 c. Must be true C. -1 d. infinity 4 d. 1 6 d. Doesn't have to be true 8 e. 1
Transcribed Image Text:ANSWERS: 1. 0.2247 2. a. undefined b. undefined 3. a. Must be true 4. a. -2, -1, 2 5. 6. a. 1 7. -8 lim sin(x) = 1 X-¹ 8. 8=0.0115 9. a. 1.5 10. X-00 11. x+c lim f(x) = L lim f(x) = ∞ √√2 -6 12.a. 3 13.a. 2 b. 0 c. undefined -4 b. 0 c. 0 b. b. Must be true b. -2, -1, 0, 1, 2 1 2√2 -------5 b. 80.1194 00 9 C. -1 -2 -4 -10 c. Must be true C. -1 d. infinity 4 d. 1 6 d. Doesn't have to be true 8 e. 1
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Follow-up Question

Help me solve the problem #2 if possible then please solve the rest of the problems 

ANSWERS: 1. 0.2247 2. a. undefined b. undefined 3. a. Must be true 4. a. -2, -1, 2 5. 6. a. 1 7. -8 lim sin(x) = 1 X-¹ 8. 8=0.0115 9. a. 1.5 10. X-00 11. x+c lim f(x) = L lim f(x) = ∞ √√2 -6 12.a. 3 13.a. 2 b. 0 c. undefined -4 b. 0 c. 0 b. b. Must be true b. -2, -1, 0, 1, 2 1 2√2 -------5 b. 80.1194 00 9 C. -1 -2 -4 -10 c. Must be true C. -1 d. infinity 4 d. 1 6 d. Doesn't have to be true 8 e. 1
Transcribed Image Text:ANSWERS: 1. 0.2247 2. a. undefined b. undefined 3. a. Must be true 4. a. -2, -1, 2 5. 6. a. 1 7. -8 lim sin(x) = 1 X-¹ 8. 8=0.0115 9. a. 1.5 10. X-00 11. x+c lim f(x) = L lim f(x) = ∞ √√2 -6 12.a. 3 13.a. 2 b. 0 c. undefined -4 b. 0 c. 0 b. b. Must be true b. -2, -1, 0, 1, 2 1 2√2 -------5 b. 80.1194 00 9 C. -1 -2 -4 -10 c. Must be true C. -1 d. infinity 4 d. 1 6 d. Doesn't have to be true 8 e. 1
QUESTIONS: 1. 2. 3. 4. Use the graph of f(x) | x-1 <0. a. a. Find the limit. b. C. a. b. C. 1.5 d. e. 0.5 1 0 lim X-1 x →→1 |x-1| lim x→a lim x→a = x² to find a number o such that x²-1 < ½ wherever f(x) exists f(x) = f(a) If a function f is continuous at a, which of the following statements, if any, MUST be true? Justify your answer. f is defined at a. Find lim f(x) X→2+ Find ? lim f(x) X→-1 b. 1 v=x² Where is the function not continuous? Where is the function not differentiable? Find lim f(x) X-→-2 lim xsin x X→→ ∞ 3x+2 C. Let f(x) Find = پت x² -2, x>1 x-1, x≤1 lim f(x) X→ 1+
Transcribed Image Text:QUESTIONS: 1. 2. 3. 4. Use the graph of f(x) | x-1 <0. a. a. Find the limit. b. C. a. b. C. 1.5 d. e. 0.5 1 0 lim X-1 x →→1 |x-1| lim x→a lim x→a = x² to find a number o such that x²-1 < ½ wherever f(x) exists f(x) = f(a) If a function f is continuous at a, which of the following statements, if any, MUST be true? Justify your answer. f is defined at a. Find lim f(x) X→2+ Find ? lim f(x) X→-1 b. 1 v=x² Where is the function not continuous? Where is the function not differentiable? Find lim f(x) X-→-2 lim xsin x X→→ ∞ 3x+2 C. Let f(x) Find = پت x² -2, x>1 x-1, x≤1 lim f(x) X→ 1+
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