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Problem 2.2 (MATH 461 only) Consider the function f: RR: 0, if x = 0; -1, if x = 0. Show that f is

Problem 2.2 (MATH 461 only) Consider the function f: RR: 0, if x = 0; -1, if x = 0. Show that f is lower semicontinuous (equivalently, closed) yet f = f f is not lower semicontinuous.

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