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Question Number 205421 by hardmath last updated on 20/Mar/24

$$\mathrm{If}$$$$\mathrm{a},\mathrm{b},\mathrm{c}>0\mathrm{and}\mathrm{abc}=1$$$$\mathrm{Then}:$$$$\frac{\mathrm{a}}{{\mathrm{b}}^{2024}}+\frac{\mathrm{b}}{{\mathrm{c}}^{2024}}+\frac{\mathrm{c}}{{\mathrm{a}}^{2024}}⩾\mathrm{a}+\mathrm{b}+\mathrm{c}$$

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