Department of Mathematics, K.T.H.M. College, Nashik

Alpha +

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Registered: 23-07-2015

Posts: 12

SET 2016

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 $[0,1]$