Limits and Functions Quiz
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Questions and Answers

Which of the following functions is not continuous at x=0?

  • j(x) = e^x
  • h(x) = 1/x (correct)
  • g(x) = |x|
  • f(x) = x^2
  • What is the limit of (x^2 - 4x + 3)/(x-3) as x approaches 3?

  • undefined
  • -1
  • 1
  • 0 (correct)
  • Which of the following statements is true about the function f(x) = x^2 + 2x - 3?

  • f(x) has a maximum value at x = -1 (correct)
  • f(x) has a minimum value at x = -1
  • f(x) is always increasing
  • f(x) is always decreasing
  • Which of the following is a correct statement about one-sided limits?

    <p>If the left-hand limit and the right-hand limit of a function exist and are equal, then the limit of the function exists at that point</p> Signup and view all the answers

    Which of the following is a correct statement about the limit of a function?

    <p>The limit of a function can be infinite even if the function is continuous</p> Signup and view all the answers

    Which of the following is a correct statement about the Squeeze Theorem?

    <p>If f(x) &lt;= g(x) &lt;= h(x) for all x in an open interval containing a, except possibly at a itself, and if the limit of f(x) as x approaches a equals the limit of h(x) as x approaches a equals L, then the limit of g(x) as x approaches a also equals L</p> Signup and view all the answers

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