[分析] bounded vs. convergent subsequence
Q1:
f_k (i) uniformly bounded for all i = 1, 2 ,...
Can we find a subsequence k_j such that
f_{k_j} (i) converge for all i=1,2,...
Q2:
f_k(x) uniformly bounded for all x \in [0,1]
Can we find a subsequence k_j such that
f_{k_j} (x) converge for all x \in [0,1]
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