Friday, 11 October 2013

Minima

If a , b, c be a positive proper fraction such that a + b + c = 2; then prove that abc greater than or equals to
eight times of (1 - a) (1 - b) (1 - c)
at
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Define f:R→R by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \ 0, ...