NoLimits Roller Coaster Simulation
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Questions and Answers

Which of the following is the correct notation for the limit of a function as x approaches c?

  • lim x -> c f(x) -> L
  • lim x -> c f(x) -> c
  • lim x -> c f(x) = L (correct)
  • lim x -> c f(x) = c

    • What is the purpose of limits in calculus and mathematical analysis?

  • To define continuity
  • To define derivatives
  • To define integrals
  • All of the above (correct)

    • Which mathematician gave the first definition of limit?

  • Gottfried Wilhelm Leibniz
  • Isaac Newton
  • Grégoire de Saint-Vincent (correct)
  • Leonhard Euler

    • What is the generalization of the concept of a limit of a sequence?

    <p>Limit of a topological net</p> Signup and view all the answers

    How is the fact that a function f approaches the limit L as x approaches c denoted?

    <p>f(x) -&gt; L as x -&gt; c</p> Signup and view all the answers

    Which of the following is the correct notation for the limit of a function as x approaches c?

    <p>lim(x-&gt;c)f(x) = L</p> Signup and view all the answers

    How is the fact that a function f approaches the limit L as x approaches c denoted?

    <p>f(x) → L as x → c</p> Signup and view all the answers

    What is the purpose of limits in calculus and mathematical analysis?

    <p>To define continuity, derivatives, and integrals</p> Signup and view all the answers

    Which mathematician gave the first definition of limit?

    <p>Grégoire de Saint-Vincent</p> Signup and view all the answers

    What is the generalization of the concept of a limit of a sequence?

    <p>Limit of a topological net</p> Signup and view all the answers

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