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Mathematics, 16.12.2019 18:31 corban13

Let f be uniformly continuous on all of r, and define a sequence of functions by fn(x) = f(x + 1 n ). show that fn → f uniformly. give an example to show that this proposition fails if f is only assumed to be continuous and not uniformly continuous on r.

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Let f be uniformly continuous on all of r, and define a sequence of functions by fn(x) = f(x + 1 n )...
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