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5. Equip RN the norm ||r|| = sup|nl. Prove that the subset nEN U = (0, 00)N = (0, x) x (0, 00) x

5. Equip RN the norm ||r|| = sup|nl. Prove that the subset nEN U = (0, 00)N = (0, x) x (0, 00) x (0, 0) x .. is not an open subset of RN relative to the norm defined above.

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