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. Prove that the following series is convergent. You may use the following fact: 2 sin() cos(a)=sin(a+)-sin(a). Carefully justify your answer. IM8 cos(n) n

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. Prove that the following series is convergent. You may use the following fact: 2 sin() cos(a)=sin(a+)-sin(a). Carefully justify your answer. IM8 cos(n) n Hint: Look for a telescoping sum

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To prove that the series sum n 1 to cosnn is convergent we will use the given fact 2sin12 cosa sina ... blur-text-image

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