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Dear Student,According to the series( 1 + 1 /2 ) = ( 2 + 1 ) / 2 = 3/2( 1 + 1/3 ) = ( 3 + 1 ) /3 = 4 / 3( 1 + 1/ 4 ) = ( 4 + 1 ) / 4 = 5 / 4...( 1 + 1/ 120 ) = ( 120 + 1 ) / 120 = 121 / 120Therefore ,(1 + 1/2 ) ( 1 + 1/3 ) ( 1 + 1/4 ) ....( 1 + 1/ 120)= ( 3/2 ) ( 4/3) ( 5/4 ) ..... ( 121 / 120 )the terms on numerator and denominator cancel out and after cancellation we get,= 121 / 2askIITians ExpertYuvraj Singh
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