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Grade 12 Limits
Evaluate the limit. [math]lim_{x->5} (x^2 - 2x - 15)/(x^2 - 25) [/math]
  1. [math]0[/math]
  2. [math]4/5[/math]
  3. [math]1[/math]
  4. [math]1/2[/math]
Grade 12 Limits
Is [math]h(x)=(x-4)/(x^2-5x+4)[/math] 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
Evaluate the limit. [math]lim_{x->9} (x-9)/(sqrt(x)-3)[/math]
  1. Indeterminate
  2. [math]0[/math]
  3. [math]3[/math]
  4. [math]6[/math]
Grade 12 Limits
What is the limit of [math]f(x)=3x^3+2x^2[/math] as [math]x[/math] approaches 5?
  1. [math]lim_(x->5)f(x)=425[/math]
  2. [math]lim_(x->5)f(x)=452[/math]
  3. [math]lim_(x->5)f(x)=542[/math]
  4. [math]lim_(x->5)f(x)=245[/math]
Grade 12 Limits
Evaluate: [math]lim_(x->1)-(x^2-1)/(x-1)[/math]
  1. 0
  2. 2
  3. -2
  4. undefined
Grade 12 Limits
Describe the end behavior of [math]f(x)=2^x-3[/math].
  1. [math]"As " x -> -oo, y-> -3; \ "as " x->oo, y->oo[/math]
  2. [math]"As " x -> -oo, y-> oo; \ "as " x->oo, y->oo[/math]
  3. [math]"As " x -> -3 , y-> oo; \ "as " x->oo, y->oo[/math]
  4. [math]"As " x -> -oo, y-> oo; \ "as " x->oo, y->-3[/math]
Grade 12 Limits
Evaluate. [math]lim_{x->-2} (x+2)/(x^3+8) [/math]
  1. [math]1/6[/math]
  2. [math]1/12[/math]
  3. [math]1/4[/math]
  4. [math]0[/math]
Grade 12 Limits
Evaluate the limit. [math]lim_{x->0} ((x-5)^2-25)/x[/math]
  1. Does not Exist
  2. [math]-10[/math]
  3. [math]oo[/math]
  4. [math]0[/math]
Grade 12 Limits
Evaluate. [math]lim_{x->0} (3x^3+2x^2) / x^2[/math]
  1. [math]5[/math]
  2. Undefined
  3. [math]0[/math]
  4. [math]2[/math]
Grade 12 Limits
Is [math]h(x)=(x-4)/(x^2-5x+4)[/math] 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 [math]lim_(x->oo)1/e^x[/math]?
  1. -∞
  2. 0
  3. e
  4. ∞
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