Question: Show that the function f(x) = 1/x is not uniformly continuous on the half-open interval (0, 1] but is uniformly continuous on [1, b]

Show that the function f(x) = 1/x is not uniformly continuous on

Show that the function f(x) = 1/x is not uniformly continuous on the half-open interval (0, 1] but is uniformly continuous on [1, b] where b = R. What is a sufficient condition for functions defined on subsets of R to be uniformly continuous?

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