To begin with, if you are not able to define what it means for a function f(x) to be differentiable at some point x=a, one of the many things that are ill-formed is your calculoose. Respectively
it will have a definition missing, you always start with "for a smooth function f(x) bla bla..." but you nowhere define it rigorously. So I guess new calculoose is incompletely defined,
lets take this as a form of ill-formedness. How do you define your smooth without limit?
John Gabriel schrieb: > On Saturday, 11 November 2017 08:38:18 UTC-5, John Gabriel wrote: >> "In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output." - The Wikipedia Moronica >> >> Your VERY OWN MORONICA states this!!! Chuckle. For once it is correct. >> Notice it DOES NOT say: >> >> "...a function is ***many relations*** between ..." >> >> When your teachers instructed you to read and quit playing with your peepees, it was for your own good. > > Anyone with a modicum of intelligence will quickly realise that the methods of calculus are meant to work with a function that is both continuous and smooth. When monkeys like you break it, then all bets are off. Chuckle. >