- #1
Juliayaho
- 13
- 0
An example of an absolutely continuous f: [0,1] -> ℝ with infinitely many points at which f is not differentiable?
Now what I had in mind was weierstrass function which says that f(x) = Sum (n=0 to infinity) of 1/2^n cos(3^n x) and is continuous everywhere but the derivative exists nowhere...
But I am not sure if that example really fits the criteria of the question or if there might be another more suitable example of that...
Thank for the help.
Now what I had in mind was weierstrass function which says that f(x) = Sum (n=0 to infinity) of 1/2^n cos(3^n x) and is continuous everywhere but the derivative exists nowhere...
But I am not sure if that example really fits the criteria of the question or if there might be another more suitable example of that...
Thank for the help.