26. Section 4.7 L’Hopital’s Rule

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Presentation transcript:

26. Section 4.7 L’Hopital’s Rule

L’Hopital’s Rule EQ – When is L’Hopital’s rule used?

L’Hopital’s Rule L’Hopital (Lo-pee-tal) was french mathematician who wrote the first calculus textbook L’Hopital’s rule is used to evaluate limits of certain types of quotients of two functions If the quotient has an indeterminate form , you can replace with

Caution! You need to be careful to take derivatives of numerator and denominator separately! Do not use the quotient rule!!

Example Use L’Hopital’s rule to evaluate

Example Use L’Hopital’s rule to evaluate

Example Use L’Hopital’s rule to evaluate

Example Use L’Hopital’s rule to evaluate

Example Use L’Hopital’s rule to evaluate

Example Use L’Hopital’s rule to evaluate If you get 00, then take ln Now exponentiate (undo the ln)

Assignment Pg. 277: #1-19 odd, 27, 31, 43, 49