7. In the normed vector space B[0, π] (i) Calculate the distance between √3 sin x and COS X ( ii) Find r > 0, so that B₂

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7. In the normed vector space B[0, π] (i) Calculate the distance between √3 sin x and COS X ( ii) Find r > 0, so that B₂

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7. In the normed vector space B[0, π] (i) Calculate the distance between √3 sin x and COS X ( ii) Find r > 0, so that B₂ (√3 sin x) ≤ B₁(− cos x) (iii) Prove your answer to (ii)
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