What is L'Hopital's Rule?

L'Hopital's Rule and Local Linearity

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
L'Hopital's Rule is a method for finding limits of indeterminate forms (0/0 or ∞/∞) by taking the derivative of the numerator and denominator.
2.
FLASHCARD QUESTION
Front
When can L'Hopital's Rule be applied?
Back
L'Hopital's Rule can be applied when evaluating limits that result in the indeterminate forms 0/0 or ∞/∞.
3.
FLASHCARD QUESTION
Front
What is the derivative of a function?
Back
The derivative of a function measures how the function's output value changes as its input value changes. It represents the slope of the tangent line at any point on the function.
4.
FLASHCARD QUESTION
Front
Back
5.
FLASHCARD QUESTION
Front
What is local linearity?
Back
Local linearity refers to the property of a differentiable function that allows it to be approximated by a linear function (tangent line) near a specific point.
6.
FLASHCARD QUESTION
Front
How do you approximate a function using its tangent line?
Back
7.
FLASHCARD QUESTION
Front
Back
The limit is 1. This can be shown using L'Hopital's Rule.
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