Calculus Limits and Functions
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Questions and Answers

What is the limit of x as x approaches 0?

  • 1
  • Undefined
  • 0 (correct)
  • Infinity
  • What is the value of the limit of sec(x) as x approaches 0?

  • 1 (correct)
  • 0
  • Infinity
  • -1
  • What is the behavior of the limit of -tan(x) as x approaches π/2 from the left?

  • Converges to 0
  • Converges to Infinity
  • Converges to -Infinity (correct)
  • Converges to 1
  • Which limit expression approaches a value, rather than Infinity or Undefined?

    <p>lim_{x→0} x</p> Signup and view all the answers

    Which expression represents a limit that is undefined?

    <p>lim_{x→π/2⁻} (-tan(x))</p> Signup and view all the answers

    Study Notes

    Limit Expressions

    • The limit of x as x approaches 0 is 0.
    • The limit of sec(x) as x approaches 0 is 1.
    • The limit of -tan(x) as x approaches π/2 from the left is negative infinity
    • The expression x→π/2⁻ indicates that x approaches π/2 from the left side, meaning x values slightly less than π/2.
    • Sec(x) is the reciprocal of cos(x)
    • Tan(x) is the ratio of sin(x) to cos(x)

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    Description

    Test your understanding of limit expressions in calculus with this quiz. Explore the behavior of different functions as they approach specific values. Perfect for students learning about limits and trigonometric functions.

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