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If-0-lt-a-lt-1-Compare-1-a-1-a-a-1-1-1-a-a-1-a-a-2a-




Question Number 206363 by hardmath last updated on 12/Apr/24
If   0<a<1  Compare:  (1/(a−1))  ,  (a/(a−1))  ,  (1/(1−a))  ,  (a/(1−a))  ,  (a/(2a))
$$\mathrm{If}\:\:\:\mathrm{0}<\mathrm{a}<\mathrm{1} \\ $$$$\mathrm{Compare}: \\ $$$$\frac{\mathrm{1}}{\mathrm{a}−\mathrm{1}}\:\:,\:\:\frac{\mathrm{a}}{\mathrm{a}−\mathrm{1}}\:\:,\:\:\frac{\mathrm{1}}{\mathrm{1}−\mathrm{a}}\:\:,\:\:\frac{\mathrm{a}}{\mathrm{1}−\mathrm{a}}\:\:,\:\:\frac{\mathrm{a}}{\mathrm{2a}} \\ $$
Commented by TheHoneyCat last updated on 12/Apr/24
Commented by TheHoneyCat last updated on 12/Apr/24
Are you sure about that last term? It makes everything painfully more complicated (as we need to do a disjonction of cases)

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