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Questions and Answers
What is the L'Hopital's Rule for evaluating the limit of a quotient of functions?
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?
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 $\lim_{x \to 0} \frac{\sin x}{x}$?
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?
What is the value of $\lim_{x \to 1} e^{x-1}$ after applying L’Hopital’s Rule?
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What is the result of applying L’Hopital’s Rule to the limit $\lim_{x \to 0} \frac{\ln x}{\csc x}$?
What is the result of applying L’Hopital’s Rule to the limit $\lim_{x \to 0} \frac{\ln x}{\csc x}$?
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