On Jun 17, 12:52 pm, Mark Dickinson <dicki...@gmail.com> wrote:
> g_n(t) = nt if 0 <= t <= 1/n else 1

Whoops.  Wrong definition.  That should be:

g_n(t) = nt if 0 <= t <= 1/n else
         n(2/n-t) if 1/n <= t <= 2/n else 0

Then my claim that g_n(t) -> 0 for all t might
actually make sense...
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