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Thu 25 Aug, 2005 02:51 pm
Show that the function is continuous on the given interval.
f(x) = x(sqrt{16 - x^2}), [-4, 4]
The function f is defined on the given interval [-4, 4].
It is a composite function of continuous functions of
1) sqrt(u), u >=0;
2) 16 - x^2;
3) multiplication.
A composite function of continuous functions on a given interval is also continuous.
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