twocubes:All right! So: I was commissioned to illustrate how a given everywhere-continuous but now
twocubes: All right! So: I was commissioned to illustrate how a given everywhere-continuous but nowhere-differentiable function fails to be differentiable. So I made this one up! It’s basically a sum of functions f at the top there. Anyways you can see at the bottom how when you zoom in on the curve the slope of the secant doesn’t converge and so the function isn’t differentiable (on the right) -- source link
#real analysis