Let f : :R ~ :R be defined by setting /(x) := x if xis rational, and /(x) = 0 if xis
Chapter 4, Problem 14(choose chapter or problem)
Let f : :R ~ :R be defined by setting /(x) := x if xis rational, and /(x) = 0 if xis irrational. (a) Show that f has a limit at x = (b) Use a sequential argument to show that if c ::f: 0, then f does not have a limit at c. 1
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