🗊Презентация L'Hopital's Rule

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Слайд 1


4.5 L’Hopital’s Rule Fri Oct 28 Do Now Differentiate the numerator and denominator of each fraction separately 1) 2)
Описание слайда:
4.5 L’Hopital’s Rule Fri Oct 28 Do Now Differentiate the numerator and denominator of each fraction separately 1) 2)

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Quiz Review Retakes?
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Quiz Review Retakes?

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Indeterminate forms An indeterminate form is a value that we are unable to evaluate. Each indeterminate form type is defined by the expression that can’t be evaluated Examples of indeterminate forms:
Описание слайда:
Indeterminate forms An indeterminate form is a value that we are unable to evaluate. Each indeterminate form type is defined by the expression that can’t be evaluated Examples of indeterminate forms:

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L’Hopital’s Rule We can use L’Hopital’s Rule to solve difficult limits that are indeterminate forms Thm- We can take the derivative of the numerator and denominator separately, and it will not affect the limit.
Описание слайда:
L’Hopital’s Rule We can use L’Hopital’s Rule to solve difficult limits that are indeterminate forms Thm- We can take the derivative of the numerator and denominator separately, and it will not affect the limit.

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Ex 1.5 Evaluate
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Ex 1.5 Evaluate

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Ex 1.6 Evaluate
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Ex 1.6 Evaluate

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Ex 1.7 You can only use L’Hopital’s Rule if the limit has an indeterminate form!
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Ex 1.7 You can only use L’Hopital’s Rule if the limit has an indeterminate form!

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Some proofs F(x) = e^x grows faster than any polynomial
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Some proofs F(x) = e^x grows faster than any polynomial

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You try Evaluate the limits using L’Hopital’s Rule 1) 2) 3)
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You try Evaluate the limits using L’Hopital’s Rule 1) 2) 3)

Слайд 10


Closure: Journal Entry: What is L’Hopital’s Rule? Can we use it for every limit? Why/whynot? HW: p.246 #1 7 17 25 31 41 49 56 59 61 65 70 74
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Closure: Journal Entry: What is L’Hopital’s Rule? Can we use it for every limit? Why/whynot? HW: p.246 #1 7 17 25 31 41 49 56 59 61 65 70 74

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