Question Number 206363 by hardmath last updated on 12/Apr/24
$$\mathrm{If}\:\:\:\mathrm{0}<\mathrm{a}<\mathrm{1} \\ $$$$\mathrm{Compare}: \\ $$$$\frac{\mathrm{1}}{\mathrm{a}−\mathrm{1}}\:\:,\:\:\frac{\mathrm{a}}{\mathrm{a}−\mathrm{1}}\:\:,\:\:\frac{\mathrm{1}}{\mathrm{1}−\mathrm{a}}\:\:,\:\:\frac{\mathrm{a}}{\mathrm{1}−\mathrm{a}}\:\:,\:\:\frac{\mathrm{a}}{\mathrm{2a}} \\ $$
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)