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2) Explain why the sequence { 2. cos(n?) } must have a convergent subsequence. 7) The function f(r) = cos( 72). Let In = 72xx

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2) Explain why the sequence { 2. cos(n?) } must have a convergent subsequence. 7) The function f(r) = cos( 72). Let In = 72xx and yn = V2an+ . By calculating lim cost- 71-00 and lim cos- yn explain why lim cos() does not exist. 1-+0

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