for n 1 consider fnx sinnx01on o prove that the family fn is uniformly
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Question
: For n > 1, consider fn(x) = sin(nx)(0,1).on O Prove that the family {fn} is uniformly bounded. Prove that the family {fn} is not equi continuous. Prove that the
family {fn} has no convergent subsequence on any compact sub interval of (0, 1).