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The sequential characterization of limits states that the following are equivalent 1) lim ns) : L 2}6 2) For every sequence {can}, with the properties

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The sequential characterization of limits states that the following are equivalent 1) lim ns) : L 2}6 2) For every sequence {can}, with the properties that lim :1':\" = a and .12., 7E 11 for any n E N, we have that the sequence {f{m,,}} has the property \"400 len x\") : L. nboo Assume that {can} is a sequence where :5\" } a. and m\" % a. for any n. Which of the following statements are true? Select all correct expressions. If Hm zz) = L then IP D \"11330 risen) = 4,3330%) If {yn} is a sequence such that y\" > a and D such that y\") diverges, then ljmm m) does not exist. a If ljm my\") 2 L then 15mm x) 2 L 71?00 Let {ya} be a sequence where y" > a, and D 3;\" 7E a for any n. If mxn) : \"Ego y\") then Hm f(a:) exists 3H] None of the above

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