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 $?

anonymous · Answer

you should take a cushy fn-fm and then show its approach to zero.

anonymous · Answer

first of all we have to determine the set M

anonymous · Answer

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