Biết n!=1.2.3....n
CMR A=\(\frac{1}{2!}+\frac{2}{3!}+....+\frac{2013}{2014!}< 1\)
a,\(\frac{2}{3}x-\frac{3}{2}\left(x-\frac{1}{2}\right)=\frac{5}{12}\)
b,\(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+.......+\frac{2}{x\left(x+1\right)}=\frac{2013}{2015}\)
AI GIAI DUOC MINH TICK CHO.NHO GIAI CHI TIET NHA
Biết n! = 1.2.3. ... . n ( n \(\in\)N* )
Chứng tỏ rằng:
A = \(\frac{1}{2!}+\frac{2}{3!}+...+\frac{2013}{2014!}< 1\)
1. Cho M=\(\frac{2n+6}{n+1}\)(nEz, n khac -1)
a, tim n de M co gia tri bang \(\frac{1009}{504}\)
b, tim n de M la so nguyen to
c, tim n de M la phan so rut gon duoc
2. Cho doan thang AB, C la mot diem nam giua A va B. Goi M va N lan luot la trung diem cua AC va AB. Tinh MN biet CB= 7cm
3. Cho doan thang HK. Goi E la trung diem cua HK. Lay diem O nam giua H va E. Chung to rang: OE= (OK- OH) :2
\(\frac{m}{n}=1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+...-\frac{1}{1334}+\frac{1}{1335}\)
chung to m la boi cua 2003
biết n! = 1.2.3....n (n thuộc N, n\(\ge\)2). chứng tỏ rằng A = \(\frac{1}{2}\)+\(\frac{2}{3}\)+ ....+ \(\frac{2013}{2014}\)< 1
Biết n! = 1.2.3...n (Ví dụ: 3! = 1.2.3 = 6). chứng tỏ rằng S =\(\frac{1}{1!}+\frac{1}{2!}+\frac{1}{3!}+...+\frac{1}{2019!}< 2\)
Cho A = \(\frac{1}{2^2}+\frac{1}{3^2}+.....+\frac{1}{2012^2}+\frac{1}{2013^2}\)
Hay Chung to rang A < 1
NHANH LEN NHA CAC BAN!
Cho n thuoc N*, chung to rang \(\frac{1}{1^2}\)+ \(\frac{1}{2^2}\)+ \(\frac{1}{3^2}\)+....+ \(\frac{1}{n^2}\)khong phai la mot so tu nhien
Help me!!!!!!!!!!