5. Consider the family F = {sin(nx)}_₁ in Cº([0, π]). (a) Is bounded? (b) Is Fequicontinuous? (c) Does have a convergent subsequence? (d) Is compact?
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![5. Consider the family F = {sin(nx)}_₁ in Cº([0, π]).
(a) Is
bounded?
(b) Is Fequicontinuous?
(c) Does have a convergent subsequence?
(d) Is compact?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe72e13b-12e8-4646-917c-376e7356872c%2F025c4e75-8c94-4de8-bfed-bc564518ddb7%2Fj8tjbvl_processed.jpeg&w=3840&q=75)
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