A =(1 -1/2) x (1-1/3) x(1 – 1/4) x….x(1-1/2020)

0 bình luận về “A =(1 -1/2) x (1-1/3) x(1 – 1/4) x….x(1-1/2020)”

1. A =(1 -$\frac{1}{2}$ ) ×  (1-$\frac{x}{y}$ ) × (1 -$\frac{1}{4}$  ) ×….×(1-$\frac{1}{2020}$ )

   A = (1-1-$\frac{1}{2020}$)

   A =1 -$\frac{1}{2}$× -$\frac{2}{3}$×$\frac{3}{4}$×…×1 -$\frac{2019}{2020}$

   A =1 -$\frac{1×2×3×4×…2019}{2×3×4×…×2020}$

   A =1 -$\frac{1}{2020}$

    

   Bình luận

2. $(1 – $$\frac{1}{2}$ $) ×$ $(1 – $$\frac{1}{3}$ $) ×$ $(1 – $$\frac{1}{4}$ $) ×…×$

   $=$$\frac{1}{2}$ $×$ $\frac{2}{3}$ $×$ $\frac{3}{4}$ $×..×$ $\frac{2019}{2020}$ 

   $=(1 – $$\frac{1}{2020}$)

   $=$$\frac{1×2×3×4×…×2019}{2×3×4×…×2020}$

   $=$$\frac{1}{2020}$

   Bình luận