I remember when I was in college one semester my calculus instructor (who was also the computer science instructor) gave us a scenario in which we had to compute how many steps we needed to perform using the same (Taylor?) series, to generate the value for a particular accuracy. (In one of my computer science classes that same semester {in either Fortran or Pascal-memory fails me now as to which}, she had us implement it.)
Thanks, OP, for a reminder of some good times. :)
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