1/20.23+1/23.26+1/26.29+...+1/77.80 < 3/20.23+3/23.26+3/26.29+...+3/77.80=1/20-1/23+1/23-1/26+...+1/77-1/80
=1/20-1/80=3/80 < 1/9 = 3/27
1/20.23+1/23.26+1/26.29+...+1/77.80 < 3/20.23+3/23.26+3/26.29+...+3/77.80=1/20-1/23+1/23-1/26+...+1/77-1/80
=1/20-1/80=3/80 < 1/9 = 3/27
Hai voi nuoc cung chay vao be , biet rangê chayđôc 1/2 be , 1 minh voi mat 4gio 30 phut , con voi B chi mat 2 gio 15 phut . hoi ca hai voi cung chay vao beô thi sau bao lau be se đây
So sánh :
a) Chứng minh rằng : M = \(\dfrac{1}{2!}+\dfrac{1}{3!}+\dfrac{1}{4!}+.......+\dfrac{1}{100!} \)
Chứng minh rằng : M <1 .
b) Chứng minh rằng : N = \(\dfrac{9}{10!}+\dfrac{9}{11!}+\dfrac{9}{12!}+........+\dfrac{9}{1000!}\)
Chứng minh rằng : N < \(\dfrac{1}{9!}\)
Chung minh
\(A=\dfrac{1}{10}+\dfrac{1}{12}+\dfrac{1}{14}+.....+\dfrac{1}{20}\)\(< \dfrac{1}{2}\)
Chung minh A<\(\dfrac{1}{10}\) biet :
A=\(\dfrac{1}{2.9}+\dfrac{1}{9.7}+\dfrac{1}{7.19}+......+\dfrac{1}{252.509}\)
S=1/2^2+1/3^2+1/4^2+....+1/9^2
chứng minh rằng:2/5<S<8/9
Chứng minh: 1/4+1/9+1/16+...+1/529<22/23
Lưu ý: Ví dụ:1/4=1 phần 4
Ai biết làm bài này giúp mik với ạ
Chứng minh rằng:
a) \(\frac{1}{2!}+\frac{1}{3!}+\frac{1}{4!}+...+\frac{1}{100!}<1\)
b) \(\frac{9}{10!}+\frac{9}{11!}+\frac{9}{12!}+...+\frac{9}{1000!}<\frac{1}{9!}\)
cho A=n chu so 3{ 3333...33
chung minh rang so do chia het cho 27
cho A=n chu so 3{ 3333...33 -3n
chung minh rang so do chia het cho 27