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**Unformatted text preview: **X n =0 f n (1) n ! = e e . (7) Let d be a real number. For each integer m 0, dene a sequence { a m ( j ) } , j = 0 , 1 , 2 ,... by the condition a m (0) = d/ 2 m , and a m ( j + 1) = ( a m ( j )) 2 + 2 a m ( j ) , j . Evaluate lim n a n ( n ). (8) Evaluate X m =1 X n =1 m 2 n 3 m ( n 3 m + m 3 n ) . 1...

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