Proving that f is not uniformly continuous - The following theorem could be used to write the proof.
A theorem states that if d:D-->R is uniformly continuous on D iff the following
condition is satisfied:
If un and vn are both sequences in D ...
limit - (See attached file for full problem description with equation and proper symbols)
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9.2-10
If be a sequence of functions that converges uniformly to the continuous function
, prove that
...
Continuity of a Max Function on [0,1] X [0,1] - Let f(x,y) be a real valued continuous function defined on the unit square [0,1] X [0,1].
Prove g(x)=max{f(x,y) : y in [0,1]} is continuous.
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Can we treat g(x) as a composite function that ...