Question

[Đỗ Kiến Trương]

Cho A =\(\frac{1}{2}\)*\(\frac{3}{4}\)*\(\frac{5}{6}\)........\(\frac{9999}{10000}\)                          hãy so sánh A với 0,01

Answer 1

[•๖ۣۜHυүềη ²ƙ⁷ ( ๖ۣۜTεαм ๖ۣۜBạ¢ɦ ๖ۣۜ...]

https://h.vn/hoi-dap/question/203861.html

bạn tham khảo nhé

Answer 2

[❤Chino "❤ Devil ❤"]

Có A = 1/2.3/4.5/6 ... 9999/10000 

Đặt B = 2/3.4/5.6/7 ... 10000/10001
Ta có A.B = 1/2.2/3.3/4 ... 10000/10001 = 1/10001 (1)
Lại có :
1/2 < 2/3
3/4 < 4/5
................
9999/10000 < 10000/10001

 =>1/2.3/4.....9999/10000<2/3.4/5.....10000/10001

=> A < B => A² < A.B (2)
(1),(2) => A² < 1/10001 => A²<1/10000=>A<1/100=0,01(đpcm)

#Chino