On Thu, 28 Feb 2013 at 11:56AM -0800, David Smith wrote: > I've been experimenting (in an interact) with graphing x^m/e^x for large > values of m, in order to demonstrate that exp grows faster than any power > function. This works fine up to m=15, but at 16 (and any higher value) I > get a long list of errors ending with > > ParseFatalException: Expected end of math '$' > $\verb|1e+12|$ (at char 0), (line:1, col:1) > > Wolfram Alpha is perfectly happy to graph this function up to m=125, and > after that, it fails only in lopping off the top of the graph because the > y-coordinates are too big. > Is there some reason why Sage can't handle this?
For me, Sage works fine up to x^115. There it starts to complain that it can't evaluate the function (x^115/e^x) at all points. That seems very strange to me, although maybe it's running up against the maximum size that floats can do -- but the plot looks fine, so maybe not? Dan -- --- Dan Drake ----- http://math.pugetsound.edu/~ddrake -------
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