Search results

  1. K

    Lim f'(x)=0 implies lim f(x)/x = 0

    L'Hopital's rule is unfortunately not allowed in this particular problem.
  2. K

    Lim f'(x)=0 implies lim f(x)/x = 0

    Homework Statement Given that the function f is differentiable on the interval (a,\infty) and that \lim_{x\rightarrow\infty}f'(x)= 0. Show that \lim_{x\rightarrow\infty}\frac{f(x)}{x}= 0. Homework Equations The Attempt at a Solution I have a pretty good intuition of why this is true: As...
Top