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Limits Questions - All Grades

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Grade 12 Limits
Is h(x)=x-4x2-5x+4 continuous or discontinuous at x = 3? Justify using continuity test. If discontinuous, what type?
  1. Continuous
  2. Infinite discontinuity
  3. Jump discontinuity
  4. Removable discontinuity
Grade 12 Limits
What is the limit of f(x)=3x3+2x2 as x approaches 5?
  1. limx→5f(x)=425
  2. limx→5f(x)=452
  3. limx→5f(x)=542
  4. limx→5f(x)=245
Grade 12 Limits
Describe the end behavior of f(x)=2x-3.
  1. As x→-∞,y→-3; as x→∞,y→∞
  2. As x→-∞,y→∞; as x→∞,y→∞
  3. As x→-3,y→∞; as x→∞,y→∞
  4. As x→-∞,y→∞; as x→∞,y→-3
Grade 12 Limits
Evaluate. limx→-2x+2x3+8
  1. 16
  2. 112
  3. 14
  4. 0
Grade 12 Limits
Evaluate the limit. limx→0(x-5)2-25x
  1. Does not Exist
  2. -10
  3. ∞
  4. 0
Grade 12 Limits
Is h(x)=x-4x2-5x+4 continuous or discontinuous at x = 1? Justify using continuity test. If discontinuous, what type?
  1. Continuous
  2. Infinite discontinuity
  3. Jump discontinuity
  4. Removable discontinuity
Grade 12 Limits
What is limx→∞1ex?
  1. -∞
  2. 0
  3. e
  4. ∞
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