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Find limits using L'Hospital's Rule

Authored by Woolly Chhabra

Mathematics

12th Grade

Used 5+ times

Find limits using L'Hospital's Rule
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Applying l'Hopital's rule to indeterminate forms: Find the limit of (x^2 + 3x - 10) / (x - 2) as x approaches 2.

10

x^2 + 3x - 10

5

7

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Applying l'Hopital's rule to indeterminate forms: Calculate the limit of (e^x - 1) / (x) as x approaches 0.

1

x^2

e^0

0

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Applying l'Hopital's rule to indeterminate forms: Determine the limit of (sin(x) - x) / (x^3) as x approaches 0.

0

1/3

1/6

2/5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Finding limits using l'Hopital's rule: Find the limit of (2x^2 + 3x - 5) / (x^2 - 4) as x approaches 2.

1

2

4

0

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Finding limits using l'Hopital's rule: Calculate the limit of (3x^3 - 2x^2 + 5) / (4x^3 - 8x) as x approaches 2.

5/4

1/2

2/3

-1/2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Finding limits using l'Hopital's rule: Determine the limit of (e^x - 1) / (x^2) as x approaches 0.

1/2

1/3

1/4

2/3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solving limits involving infinity using l'Hopital's rule: Evaluate the limit of (3x^2 + 2x + 1) / (4x^2 - 5x + 2) as x approaches infinity.

2/3

3/4

1/2

5/4

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