4.5 - Indeterminate Forms and L’Hospital’s Rule “For where both then the limit may or may not exist and is called an indeterminate form of type ” L’Hospital’s Rule:“Forwhere IDForresult IF the limit on the right side exists or is then

ex:

Simplify

ex:

HW 4.5A - pg 308 #’s 1-10 all HW 4.5A - pg 308 #’s 1-10 all

Indeterminate Products Where It is not clear what the value ofif any, will be. This limit is called an indeterminate form of type Solution: convert it to a quotient…. ex:

Indeterminate Differences Where Thenis indeterminate form of type Solution: find a common denominator…. ex:

Indeterminate Powers 3 types: For Solve by either ln’ing both sides OR exponentiating. Will give us type IDF. ex:

Solution: Any variable x can be written as e lnx … so we write … multiply the exponents

HW 4.5B – pg 308 #’s 15, 16, 20, all, all !! BONUS !! FOR +5 #24