= = 1. Let fn(x) = sin(n+x), x € [0, 27), n=1,2,.... (a) Prove that (fr) has a convergent subsequence. (b) Construct a c
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= = 1. Let fn(x) = sin(n+x), x € [0, 27), n=1,2,.... (a) Prove that (fr) has a convergent subsequence. (b) Construct a c
= = 1. Let fn(x) = sin(n+x), x € [0, 27), n=1,2,.... (a) Prove that (fr) has a convergent subsequence. (b) Construct a convergent subsequence of (fn). In other words, find (ni) so that (fni) converges, and state what the subsequence converges to. What are the possible limit functions?
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