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- #1

_{n}} is uniformly bounded on S.

Proof : Since each f

_{n}is bounded implies \(f_n \leq M_n\)

\(\Longrightarrow f_1\leq M_1, f_2 \leq M_2,\) and so on

If M = max {M

_{1}, M

_{2},........M

_{n}} then each term is certainly less than M

Please let me know is this approach right?