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.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the indeterminate form encountered when evaluating the limit in this example?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how L'Hôpital's rule is applied in this context.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the derivative of sine of X?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the result of the direct substitution of cosine of 0?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Summarize the key takeaway from this lesson on limits.

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