Lhopital

Lhopital

Assessment

Flashcard

Mathematics

12th Grade

Practice Problem

Hard

CCSS
HSF.IF.A.2

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is L'Hôpital's Rule?

Back

A method for finding limits of indeterminate forms (0/0 or ∞/∞) by differentiating the numerator and denominator.

2.

FLASHCARD QUESTION

Front

When can L'Hôpital's Rule be applied?

Back

It can be applied when the limit results in an indeterminate form such as 0/0 or ∞/∞.

3.

FLASHCARD QUESTION

Front

What is the first step in applying L'Hôpital's Rule?

Back

Differentiate the numerator and the denominator separately.

4.

FLASHCARD QUESTION

Front

What is the limit of (sin x)/x as x approaches 0?

Back

1, using L'Hôpital's Rule.

5.

FLASHCARD QUESTION

Front

What is an indeterminate form?

Back

An expression that does not have a well-defined limit, such as 0/0 or ∞/∞.

6.

FLASHCARD QUESTION

Front

What is the derivative of e^x?

Back

e^x, which is useful in applying L'Hôpital's Rule.

7.

FLASHCARD QUESTION

Front

What is the limit of (1 - cos x)/x^2 as x approaches 0?

Back

1/2, using L'Hôpital's Rule.

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