Recent content by OXF

  1. O

    Differentiability of a Twice Differentiable Function

    Ah, I meant g''(x)+g(x)=0, apologies.
  2. O

    Differentiability of a Twice Differentiable Function

    Homework Statement Let g:R->R be a twice differentiable function satisfying g(0)=g'(0)=1 and g''(x)=g(x)=0 for all x in R. (i) Prove g has derivatives of all orders. (ii)Let x>0. Show that there exists a constant M>0 such that |g^n(Ax)|<=M for all n in N and A in (0,1). Homework Equations...