2018 L’Hopital’s Rule. BC Calculus. FINDING LIMITS. Rem: Always start with Direct Substitution. Method 1: Algebraic - Factorization. Method 2: Algebraic - Rationalization. Today is the Day!!!. Method 3: Numeric – Chart (last resort!). Method 4: Calculus.
Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.
2018 L’Hopital’s Rule
Rem: Always start with Direct Substitution
Method 1: Algebraic - Factorization
Method 2: Algebraic - Rationalization
Method 3: Numeric – Chart (last resort!)
Method 4: Calculus
To be Learned Later !
If produces the Indeterminant Form,( or ),
Provided the limit exists and . (Also )
CAUTION: Think of this as the comparison of two functions
NOT a Quotient Rule << NOT Bo-d(To) >>
Leading term test
Which grows faster?
Bottom goes to 0
Top goes to ∞
Repeated use of L’Hopital’s:
Other Indeterminant Forms: << Rem: LIMITS not values! >>
Convert to L’Hopital’s forms
L’Hopital ‘s Forms: