Let f: (0, 1)-+ R be bounded but such that lim f does not exist. Show that there are two

Chapter 5, Problem 15

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Let f: (0, 1)-+ R be bounded but such that lim f does not exist. Show that there are two x-o sequences (xn) and (yn) in (0, 1) with lim(xn) = 0 = lim(yn)' but such that lim (f

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