Open Educational Resources (OER) are available in different types of media from images to text to videos.  Here are three types of media on a Calculus topic: L’Hopital’s Rule

Image

lhopital-jimtoons-com-7231
By James Ian Montbriand (JIM) http://www.jimstoons.com/index.php?comic=2212&sub=6

Video

https://www.khanacademy.org/math/ap-calculus-bc/derivative-applications-bc/lhopitals-rule-bc/v/introduction-to-l-hopital-s-rule

By Khan Academy

 

Text Excerpt from Paul’s Online Calculus Notes

http://tutorial.math.lamar.edu/Classes/CalcI/LHospitalsRule.aspx

L’Hospital’s Rule

lhopital

So, L’Hospital’s Rule tells us that if we have an indeterminate form 0/0 or  all we need to do is differentiate the numerator and differentiate the denominator and then take the limit.

 

Before proceeding with examples let me address the spelling of “L’Hospital”.  The more modern spelling is “L’Hôpital”.  However, when I first learned Calculus my teacher used the spelling that I use in these notes and the first text book that I taught Calculus out of also used the spelling that I use here.

 

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