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prove that $lim a_n = L$ if and only if $limsup a_n = liminf a_n = L$
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Let a sequence {xn}be defined as follows show that limit of the sequence {xn}does not exist.
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Proof verification that if $a_nleq b_n$ then $limsup a_{n} leq limsup b_{n} $ (2 Solutions!!)
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