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Question Number 136032 by mathmax by abdo last updated on 18/Mar/21
$$\mathrm{proof}\:\mathrm{the}\:\mathrm{existence}\:\mathrm{of}\:\:\mathrm{x}_{\mathrm{1}} ,\mathrm{x}_{\mathrm{2}} ,....\mathrm{x}_{\mathrm{n}} \:\mathrm{integr}\:\mathrm{natural}\:/ \\ $$$$\frac{\mathrm{1}}{\mathrm{x}_{\mathrm{1}} }+\frac{\mathrm{1}}{\mathrm{x}_{\mathrm{2}} }+...+\frac{\mathrm{1}}{\mathrm{x}_{\mathrm{n}} }\:=\mathrm{1}\:\:\mathrm{with}\:\mathrm{x}_{\mathrm{i}} \neq\mathrm{x}_{\mathrm{j}} \:\mathrm{for}\:\mathrm{i}\neq\mathrm{j} \\ $$