Re:Calculus Is Deeply Irrational
by ska on Tuesday August 20, 2019 @01:59PM
(#20749910)
That is an example of how strange real valued functions can be, and one that tests your understanding of continuity.
It's a standard example trotted out in elementary real analysis courses along with Cantor sets, etc. If you have a good lecturer, they might make you try and come up with an example like it as an exercise before you've seen it...
A good part of becoming competent at analysis is building up a grab bag of examples like this you can throw at new situations.
It's a standard example trotted out in elementary real analysis courses along with Cantor sets, etc. If you have a good lecturer, they might make you try and come up with an example like it as an exercise before you've seen it...
A good part of becoming competent at analysis is building up a grab bag of examples like this you can throw at new situations.