Limits | L'Hospital's Rule: Examples 2 & 3

Limits | L'Hospital's Rule: Examples 2 & 3

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Science, Mathematics

University

Hard

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The video tutorial covers L'Hôpital's Rule with two examples. The first example involves evaluating a limit as x approaches infinity, requiring the application of derivatives twice to resolve an indeterminate form. The second example introduces a variable change and demonstrates handling an indeterminate form of infinity times zero by transforming it into a 0/0 form, allowing the use of L'Hôpital's Rule. The tutorial concludes with a preview of more complex examples in the next video.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of simplifying the limit expression when you have 16e^(4X) / e^X.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens to the limit as X approaches Infinity for the expression 2/e^X?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean when we say a limit diverges, and how does this apply to the limit we calculated?

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