The worksheet in which this page is included leads the students into an infinitesimal approach to the FTC via he 4,000 times zoom of CorelDraw as a visual mediator, totally avoiding the limit conception. Unfortunately the file.pdf does not allows zoom-in CDR.
This WS introduces the cases 0/0 and infinity/infinity when x tends to c or to infinity. It displays a geometric proof of Cauchy’s mean value theorem and a proof of the case infinity/infinity via infinitesimals. Examples are discussed. WS 25 l’Hôpital
Once the moving average grounds the Calculus I course, it would be a pity not to show that it is a particular case of a more general operation called convolution. We took the opportunity to introduce Dirac delta function as he unitary operator under convolution. WS-24 Convolution