L'Hopital's Rule and Local Linearity

L'Hopital's Rule and Local Linearity

Assessment

Flashcard

Mathematics

9th - 12th Grade

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is L'Hopital's Rule?

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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