(*^ ::[ Information = "This is a Mathematica Notebook file. It contains ASCII text, and can be transferred by email, ftp, or other text-file transfer utility. It should be read or edited using a copy of Mathematica or MathReader. If you received this as email, use your mail application or copy/paste to save everything from the line containing (*^ down to the line containing ^*) into a plain text file. On some systems you may have to give the file a name ending with ".ma" to allow Mathematica to recognize it as a Notebook. 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Today we investigate its mathematical origin: the limit of the slope of secant lines. :[font = section; inactive; preserveAspect] Part 0: A Dry Run :[font = subsection; inactive; preserveAspect] Preliminaries :[font = text; inactive; preserveAspect] Mathematica has the capability of animating a sequence of graphs (flashing them on the screen in rapid sucession so that the graph appears to move). To create the sequences of graphs needed in this lab, your intrepid instructor has created a special command that is contained in a ÒMathematica package.Ó To ÒteachÓ Mathematica the command, we input the package as follows: ;[s] 7:0,0;1,1;12,0;284,1;295,0;318,1;329,0;376,-1; 2:4,14,10,AGaramond,0,12,0,0,0;3,14,10,AGaramond,2,12,0,0,0; :[font = input; preserveAspect] <