The value of (1-1/2)(1-1/3)(1-1/4)(1-1/5...

The value of `(1-1/2)(1-1/3)(1-1/4)(1-1/5)…(1-1/n) is :

A

`1/n`

B

`2/n`

C

`(2xx(n-1))/n`

D

`2/(n(n+1))`

Verified by Experts

The correct Answer is:

A

`(1-1/2)(1-1/3)(1-1/4)……..(1-1/n)`
`=1/2xx2/3xx3/4xx…………..(n-1)/n`
`=1/n`

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