Set $f_{n}(x):=x^{n}$Determine the set
$M:=\{x\in\mathbb{R}:f_{n}(x) $(converges (pointwise)\},
and the limit function
$f_{n}(x):=lim_{n \to \infty}f_{n}(x)$
on M. Is$f$, continuous on$M$? Does the sequence of functions
$f_{n} $converge uniformly on$ M $?

Question

Set $f_{n}(x):=x^{n}$Determine the set
    $M:=\{x\in\mathbb{R}:f_{n}(x) $(converges (pointwise)\},
      and the limit function
          $f_{n}(x):=lim_{n \to \infty}f_{n}(x)$
           on M. Is$f$, continuous on$M$? Does the sequence of functions
         $f_{n} $converge uniformly on$ M $?

kinggeorge · Answer

I think this is a little out of my league. Especially since it's been while since I've done analysis kind of things.

anonymous · Answer

ok thanks anyway, this week i get difficult questions to solve :((