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 (D)</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 (C)</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 (A)</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 (C)</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 (C)</p> Signup and view all the answers

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

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

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