Question

Tính D=(1-1/2)x(1-1/3)x(1-1/4)x...x(1-1/100)

giải từng bước giúp mình nhé^ω^

Answer 1

hép:(

Answer 2

D=1/2x2/3x3/4x...x99/100=1/100

=>D=1/100

Answer 3

SOS

Answer 4

\(D=\left(1-\dfrac{1}{2}\right)\times\left(1-\dfrac{1}{3}\right)\times\left(1-\dfrac{1}{4}\right)\times...\times\left(1-\dfrac{1}{100}\right)\)

\(D=\left(\dfrac{2}{2}-\dfrac{1}{2}\right)\times\left(\dfrac{3}{3}-\dfrac{1}{3}\right)\times\left(\dfrac{4}{4}-\dfrac{1}{4}\right)\times...\times\left(\dfrac{100}{100}-\dfrac{1}{100}\right)\)

\(D=\dfrac{1}{2}\times\dfrac{2}{3}\times\dfrac{3}{4}\times...\times\dfrac{99}{100}\)

\(D=\dfrac{1\times2\times3\times...\times99}{2\times3\times4\times...\times100}\)

\(D=\dfrac{1}{100}\)