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Unformatted text preview: K 1 ,K 2 N such that  a nA  < 2 , n K 1 ,  b nB  < 2 , n K 2 . Take K := max { K 1 ,K 2 } . We have  a nA  +  b nB  < , n K ( ** ) . By combining ( * ) with ( ** ) , we obtain that, for any > , there is K N such that  ( a n + b n )( A + B )  < , n K, that is, we have showed that ( a n + b n ) ( A + B ) . 1...
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 Fall '10
 Mark

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