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Let a be a positive real number and let Sx = {x, x1/2, x1/3,...x^1/n,..} Show that inf Sx = 1 if x=> 1 and

Let a be a positive real number and let Sx = {x, x1/2, x1/3,...x^1/n,..} Show that inf Sx = 1 if x=> 1 and sup Sx = 1 if x

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