(1-1/3)(1-1/4)(1-1/5) ....... (1-1/x) = ?
Question
(1-1/3)(1-1/4)(1-1/5) ....... (1-1/x) = ?
This type of question can solve by a short trick that is the first term numerator, and the last term denominator will be the answer.
i.e., 1-1/3 = 2/3, 1-1/4 = 3/4, 1-1/5 = 4/5 and so on
(2/3)*(3/4)*(4/5) .... ((x-1)/x) = (2) (1/x)
The first term denominator canceled by its next term numerator till the end.
In the end, we get 2/x.
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Aptitude