Let g be a continuous function on the closed interval [0,1].
Let g(0)=1 g(1)=0
Which of the following is NOT necessarily true?
a) There exists a number h in [0,1] such that g(h) > or = g(x) for all x in [0,1].
b) For all a and b in [0,1], if a=b, then g(a) = g(b)
c) There exists a number h in [0,1] such that g(h)= 0.5
d) There exists a number h in [0,1] such that g(h) = 3/2
e) For all h in the open interval (0,1), the limit as x goes to h of
g(x) = g(h)
and why.
thanks so much
2006-09-24
17:46:08
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5 answers
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asked by
leksa27
2
in
Mathematics