Mathematics:Teaching, Learning and Exploring.
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The sequence of function $$f_n(x)=x^n, \forall x \in [0,1], n=1,2,3,\dots $$ is
A) Pointwise convergent to a continuous on function on $[0,1]$
B) Not pointwise convergent on $[0,1]$
C) Pointwise convergent but not uniformly convergent on $[0,1]$
D) Uniform convergent on $[0,1]$
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