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x-1-2-x-1-4-x-1-8-x-1-16-to-is-equal-to-




Question Number 63121 by hovea cw last updated on 29/Jun/19
x^(1/2)  ∙ x^(1/4)  ∙ x^(1/8)  ∙ x^(1/16)  ... to ∞ is equal to
$${x}^{\mathrm{1}/\mathrm{2}} \:\centerdot\:{x}^{\mathrm{1}/\mathrm{4}} \:\centerdot\:{x}^{\mathrm{1}/\mathrm{8}} \:\centerdot\:{x}^{\mathrm{1}/\mathrm{16}} \:…\:\mathrm{to}\:\infty\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to} \\ $$
Commented by Prithwish sen last updated on 29/Jun/19
thank you
$$\mathrm{thank}\:\mathrm{you} \\ $$
Commented by Prithwish sen last updated on 29/Jun/19
x^((1/2) +(1/4) +(1/8) + .....)   =x^((1/2)/(1−(1/2)))  = x  please check
$$\mathrm{x}^{\frac{\mathrm{1}}{\mathrm{2}}\:+\frac{\mathrm{1}}{\mathrm{4}}\:+\frac{\mathrm{1}}{\mathrm{8}}\:+\:…..} \\ $$$$=\mathrm{x}^{\frac{\frac{\mathrm{1}}{\mathrm{2}}}{\mathrm{1}−\frac{\mathrm{1}}{\mathrm{2}}}} \:=\:\mathrm{x} \\ $$$$\mathrm{please}\:\mathrm{check} \\ $$$$ \\ $$
Commented by hovea cw last updated on 29/Jun/19
very correct sir nice one

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