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1 Show that if f ( x ) ln for x (0,1] , then f belongs to Lp (0,1] for all 1 p but does not belong x to L (0,1] Please I need the answer in detail

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1 Show that if f ( x ) ln for x (0,1] , then f belongs to Lp (0,1] for all 1 p but does not belong x to L (0,1] Please I need the answer in detail

 
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