Recent content by mred11

  1. M

    Convergence of a functional series (analysis)

    Ok, thanks!
  2. M

    Convergence of a functional series (analysis)

    Thanks. I just noticed something: if x=0, then the series is just zero, so it converges. Given that the series isn't convergent for *all* values of x in the domain, is it still correct to say the functional series is divergent? I suppose it's a question of terminology. Thanks for the help.
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    Convergence of a functional series (analysis)

    Homework Statement Determine whether the following functional series is pointwise and/or uniformly convergent: \sum_{n=1}^\infty \frac{x}{n} (x\in\mathbb{R}) Homework Equations The Attempt at a Solution My answer to this seems very straightforward and I would be very grateful if...