On 18/08/2015, Ethan Duni <ethan.d...@gmail.com> wrote: >>You cannot calculate 1/x when x=0, can you? Since that's division by zero. >>Yet you'll know when x tends to zero from right towards left, then 1/x >>will tend to +infinity. > > Not sure what that is supposed to have to do with the present subject.
You cannot calculate 1/x when x=0, because that's division by zero, yet you can calculate the limit of 1/x as x tends towards zero. Meaning that you can approach zero arbitrarily, and 1/x will approach +infinity arbitrarily. Similarly, even if frequency f=0.5 may be considered ill-specified (because it's critical frequency), you can still approach it to arbitrary precision, and the gain will approach -infinity. So f=0.4 f=0.49 f=0.499 f=0.4999 f=0.4999999999 f=0.499999999999999999999999999999999999999999999999999 etc. The more you approach f=0.5, the more the gain will approach -infinity. Even if f=0.5 is a critical frequency. f=0.499999999 isn't, and it's quite close to f=0.5. That's what I mean. _______________________________________________ music-dsp mailing list music-dsp@music.columbia.edu https://lists.columbia.edu/mailman/listinfo/music-dsp
