Recent content by dracond

  1. D

    Showing uniform convergence (or lack of) on [0,1]

    Oops, it oscillates between [-1,1], no? so does not converge pointwise.
  2. D

    Showing uniform convergence (or lack of) on [0,1]

    Homework Statement Hello! I've been tasked with figuring out if the following is uniformly convergent on [0,1] and I could use push in the right direction: sin(nx) Homework Equations The Attempt at a Solution Would picking M=1 in the weierstrass-m test show it not uniformly...
  3. D

    Is Uniform Convergence Implying Boundedness of the Limit Function?

    Homework Statement Just trying to get feel for uniform convergence and it's relationship to boundedness. If a sequence of functions (fn) converges uniformly to f and (fn) is a sequence of bounded functions, is f also bounded? Homework Equations The Attempt at a Solution
Back
Top