L'Hopital's Rule sine x over x

L'Hopital's Rule sine x over x

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to evaluate limits using direct substitution and L'Hôpital's Rule. It begins by identifying an indeterminate form and then applies L'Hôpital's Rule by taking derivatives of the numerator and denominator. The tutorial demonstrates solving the limit by substituting values and concludes with a brief summary.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of directly substituting zero into the sine function in this example?

Indeterminate form 0/0

Infinity

0

1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which rule is applied to resolve the indeterminate form in this example?

Quotient Rule

Product Rule

L'Hôpital's Rule

Chain Rule

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of sine of X used in this example?

Secant of X

Cosine of X

Tangent of X

Sine of X

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After applying L'Hôpital's Rule, what is the value of the limit?

Infinity

Undefined

1

0

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final conclusion of the lesson after applying L'Hôpital's Rule?

The limit is zero

The limit is one

The limit is undefined

The limit is infinite