Find the value of: (1-1/3 )(1-1/4)( 1-1/5) _?_ 1-1/n

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Solution

(1 - 1/3) = 2/3 (1 - 1/4) = 3/4 (1 - 1/5) = 4/5 and so on Similarly, (1 - 1/n) = (n - 1)/n Hence (1-1/3)(1-1/4)(1-1/5).........(1-1/n) = (2/3) x (3/4) x (4/5)x.....(n - 1)/n = (2/n)

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