Computation of Limits: Evaluating Expressions at a Specific Point
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Questions and Answers

What is the limit of $\frac{\sqrt{x^2 - 4}}{x}$ as $x$ approaches 2?

  • 0
  • 1
  • undefined (correct)
  • 2
  • What is the limit of $-(x - 2)$ as $x$ approaches 2?

  • undefined
  • 2
  • -2 (correct)
  • 0
  • What is the conclusion about the limit of $(x - 2)$ as $x$ approaches 2?

  • It is equal to 0
  • It is equal to 2
  • It is equal to 1
  • It does not exist (correct)
  • What is the limit of $\frac{\sqrt{x^2 + 4}}{x}$ as $x$ approaches 2?

    <p>undefined</p> Signup and view all the answers

    What is the limit of $\frac{\sqrt{x^2 + 4}}{x}$ as $x$ approaches 2 from the left?

    <p>1</p> Signup and view all the answers

    What is the limit of $\frac{\sqrt{x^2 - 4}}{x}$ as $x$ approaches 2?

    <p>Does not exist</p> Signup and view all the answers

    What is the left-hand limit of $\frac{\sqrt{x^2 - 4}}{x}$ as $x$ approaches 2?

    <p>-1</p> Signup and view all the answers

    What is the right-hand limit of $\frac{\sqrt{x^2 - 4}}{x}$ as $x$ approaches 2?

    <p>-1</p> Signup and view all the answers

    What is the conclusion about the limit of $(x - 2)$ as $x$ approaches 2?

    <p>$-1$</p> Signup and view all the answers

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