For the limit to exist no matter how narrow you make the gap between the horizontal red lines, you should be able to force the blue-shaded portion of the curve to be between them if you make the vertical blue lines sufficiently close together.ĭownload this or other of my Calculus 1 notebooks from Google Drive Estimating Arclength

This notebook has a manipulation which lets you explore the ε-δ definition of limits. Important Note: The links for the notebooks open a new window or tab with a Google Drive page – the current settings for our homepages won’t allow me to host mathematica notebooks locally.

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Designed to facilitate an understanding of the fundamental ideas of calculus and its application to problems in science, mathematics, and engineering.

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Mathematica for calculus