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1-2-3-2-3-2-1-5-2-5-2-2-7-2-




Question Number 124861 by Dwaipayan Shikari last updated on 06/Dec/20
((((1/2))!)/(((3/2))!))−((((3/2))!1!)/(((5/2))!))+((((5/2))!2!)/(((7/2))!))−....
$$\frac{\left(\frac{\mathrm{1}}{\mathrm{2}}\right)!}{\left(\frac{\mathrm{3}}{\mathrm{2}}\right)!}−\frac{\left(\frac{\mathrm{3}}{\mathrm{2}}\right)!\mathrm{1}!}{\left(\frac{\mathrm{5}}{\mathrm{2}}\right)!}+\frac{\left(\frac{\mathrm{5}}{\mathrm{2}}\right)!\mathrm{2}!}{\left(\frac{\mathrm{7}}{\mathrm{2}}\right)!}−…. \\ $$

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