Applications of Differentiation Quiz
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What is the L'Hopital's Rule for evaluating the limit of a quotient of functions?

  • The limit is equal to the quotient of their integrals, provided that the given conditions are satisfied.
  • The limit is equal to the sum of their derivatives, provided that the given conditions are satisfied.
  • The limit is equal to the product of their derivatives, provided that the given conditions are satisfied.
  • The limit is equal to the limit of the quotient of their derivatives, provided that the given conditions are satisfied. (correct)

    • What is the indeterminate form that L’Hopital’s Rule aims to evaluate?

  • ∞/∞
  • 1/0
  • 0*∞
  • 0/0 (correct)

    • What is the result of applying L’Hopital’s Rule to the limit $\lim_{x \to 0} \frac{\sin x}{x}$?

  • 0
  • 1 (correct)
  • Undefined
  • Indeterminate form

    • What is the value of $\lim_{x \to 1} e^{x-1}$ after applying L’Hopital’s Rule?

    <p>$e$</p> Signup and view all the answers

    What is the result of applying L’Hopital’s Rule to the limit $\lim_{x \to 0} \frac{\ln x}{\csc x}$?

    <p>Indeterminate form</p> Signup and view all the answers

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