Recent content by Skalman

  1. S

    Graduate What happens with a differentiable function in the neighborhood of x?

    Ok, I see it very clearly now, thanks again for the help!
  2. S

    Graduate What happens with a differentiable function in the neighborhood of x?

    Wow, thanks, that's really useful. Would you agree that if additionally f'(x) changes sign a finite number of times, then the statement would hold?
  3. S

    Graduate What happens with a differentiable function in the neighborhood of x?

    A problem in mathematical analysis that I have problems getting to grips with (need it to characterize the direction field of a differential equation) Suppose f(x) is a continuously differentiable function on ℝ with f(0)=f'(0)=0. Suppose that for any ε>0 there is some x in (0,ε) such that...