How to apply L'Hopital's Rule to evaluate the limit

How to apply L'Hopital's Rule to evaluate the limit

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve a mathematical problem involving an indeterminate form using direct substitution and derivatives. Initially, direct substitution results in a 0/0 form, prompting the use of derivatives for both the numerator and denominator. The tutorial walks through the process of applying derivatives and concludes with a final calculation, resulting in a simplified answer.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the result of applying direct substitution in the given example?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why the expression results in an indeterminate form.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What derivatives need to be taken in the example, and why?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you apply the chain rule in this context?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final result after applying direct substitution again?

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