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2n 4. (a) Prove that lim n-2 = 0. Hint: Show that 0 2. (b) Prove that lim n! = 0. nn2. Let (Xn) be
2n 4. (a) Prove that lim n-2 = 0. Hint: Show that 0 2. (b) Prove that lim n! = 0. nn2. Let (Xn) be a convergent sequence with lim (n) = x > 0. Prove that there exists a K E N such that 5x K
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