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Nov 13, 2010 at 0:57 comment added Andrew Parker As an added bonus, you get that the function is connected but not path connected...
Apr 23, 2010 at 15:32 comment added Joseph Malkevitch The functions one learns about early in studying mathematics are chosen to illustrate various "issues:' continuity, having a derivative, being periodic, etc. One of the functions one learns about in this way is y = sin(x). So while there are many functions that are "strange," the transition from y = sin (x) to y = sin (1/x) offers I feel lots of nice lessons about functions and their behavior. There are many web sites that use graphics to help one understand what is going on here. One such site is: math.washington.edu/~conroy/general/sin1overx
Apr 23, 2010 at 14:20 comment added vonjd Could you please elaborate a little on that... thanks!
Apr 23, 2010 at 14:18 history answered Joseph Malkevitch CC BY-SA 2.5