Simplification Test 7

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Question : 12 of 40

Marks: +1, -0

The value of

(1-1/2)(1-1/3)(1-1/4)...(1-1/n)

is:

$2 /{n(n+1)}$
${2(n-1)}/n$
$2 /n$
$1 /n$

Solution:

(1-1/2)(1-1/3)(1-1/4)...(1-1/n)

=1/2×2/3×3/4×...×{n-1}/n=1/n

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