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Topic:
Continuous function
Replies:
1
Last Post:
Jul 20, 2011 3:59 PM



RSimmons
Posts:
20
From:
UK
Registered:
1/23/09


Continuous function
Posted:
Jul 20, 2011 11:39 AM


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?
Thanks



