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Topic: Continuous function
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Posts: 20
From: UK
Registered: 1/23/09
Continuous function
Posted: Jul 20, 2011 11:39 AM
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Let f be a continuous function in X and a,b real numbers such that a < b. The function g given by

g(x) = f(x) if a <= f(x) <= b
g(x) = a if f(x) > a
g(x) = b if f(x) < b

is continuous in X?


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