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1. Consider the sequence In determined by In = 2. Let yn and zn be arbitrary increasing and decreasing sequences, respectively. What statement is always

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1. Consider the sequence In determined by In = 2". Let yn and zn be arbitrary increasing and decreasing sequences, respectively. What statement is always true? (A) lim (Tryn) = 00 Zn n-+00 (C) lim = 0 n-+0O In (B) lim yn = 0 n-+0O (D) None of the former statements is true. 2. Let n E No. How many linear functions f : R" - R"- do exist for which the set {x ER" | f(x) = 0} is bounded? (A) O (B) 1 (C) n (D) Infinitely many

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