Let S be a closed subset of R and f : S → R. Let E be a subset of S. Let E¯ and S \ E be the closure of E and S\E in R, respectively. Assume that f is uniformly continuous on E¯ and on S \ E. Show that f is uniformly continuous on S

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.