Recent content by anelys

  1. A

    Prove lim(x->3) x^2 = 9 by defintion

    read this paper
  2. A

    Difficult analysis problem involve supremum and function concepts

    There is nothing missing from the problem. I guess we can assume that it's continuous. It isn't necessarily a decreasing monotone function. Also, yes, c is any point between f(b) and f(a).
  3. A

    Difficult analysis problem involve supremum and function concepts

    Homework Statement f(a) > c > f(b) A = { x : b > x > y > a implies f(a) > f(y) } let u = sup(A) show that f(u) = c Homework Equations I have no idea in particular, save for the definition of the supremum: \forall x \in A x \le u if v is an upper bound of A, then u \le v...