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Heine's Theorem
The hypotheses of the theorem
MCQ
Which statements about Heine's theorem are correct?
Possible answers
Every function continuous on a closed bounded interval
[
a
;
b
]
[a \,;\, b]
[
a
;
b
]
is uniformly continuous on it
Every function continuous on
R
\mathbb{R}
R
is uniformly continuous on
R
\mathbb{R}
R
A function that is uniformly continuous on an interval is continuous on it
The theorem still applies to a function continuous on
]
0
;
1
]
\left]0 \,;\, 1\right]
]
0
;
1
]
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