Question #c09ab

1 Answer
Narad T.
Dec 10, 2016

The answer is =(n-1)/(2n)

Explanation:

Let's start by simplifying inside each bracket

(1-1/n)(1-1/(n+1))(1-1/(n+2))..(1-1/(2n-1))(1-1/(2n))..

=((n-1)/canceln)(canceln/cancel(n+1))(cancel(n+1)/cancel(n+2))...(cancel(2n)/cancel(2n-1))(cancel(2n-1)/(2n))

=(n-1)/(2n)

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