Question

tìm x

\(\left(1-\dfrac{1}{2}\right)\)x\(\left(1-\dfrac{1}{3}\right)\)x\(\left(1-\dfrac{1}{4}\right)\)..........x\(\left(1-\dfrac{1}{x}\right)\)=\(\dfrac{1}{2014}\)

Answer 1

) . (1 - \(\dfrac{1}{3}\)) . (1 - \(\dfrac{1}{4}\)) ... (1 - \(\dfrac{1}{x}\)) = \(\dfrac{1}{2014}\)

=> \(\dfrac{1}{2}\) . \(\dfrac{2}{3}\) . \(\dfrac{3}{4}\) ... \(\dfrac{x-1}{x}\) =\(\dfrac{1}{2014}\)

=> \(\dfrac{1.2.3...x-1}{2.3.4...x}\) = \(\dfrac{1}{2014}\)

=:> \(\dfrac{1}{x}\) = \(\dfrac{1}{2014}\)

Vậy x = 2014

(Mình nghĩa là vậy, có gì sai mong bạn bỏ qua nha)