Chứng minh rằng : \(\frac{1}{112^2}+\frac{1}{112^2}+\frac{1}{113^2}+\frac{1}{114^2}+\frac{1}{115^2}<\frac{3}{2.5.11.23}\)
Chứng minh rằng:
1/(111^2) + 1/(112^2) + 1/(113^2) + 1/(114^2) + 1/(115^2) < 3/(2.5.11.23)
Cho A=\(\frac{50}{111}+\frac{50}{112}+\frac{50}{113}+\frac{50}{114}\)
CMR 1<A<2
Cho A=\(\frac{50}{111}+\frac{50}{112}+\frac{50}{113}+\frac{50}{114}\). Chứng tơ \(1< A< 2\)
Cho A = \(\frac{50}{111}\)+\(\frac{50}{112}\)+\(\frac{50}{113}\)+\(\frac{50}{114}\). Chứng tỏ 1<a<2
Cho A = \(\frac{50}{111}+\frac{50}{112}+\frac{50}{114}+\frac{50}{114}\)
Chứng tỏ 1<A<2
\(\frac{\frac{3}{7}-\frac{3}{17}+\frac{3}{37}}{\frac{5}{7}-\frac{5}{17}+\frac{5}{37}}+\frac{\frac{1}{2}-\frac{1}{3}+\frac{1}{4}-\frac{1}{5}}{\frac{7}{5}-\frac{7}{4}+\frac{7}{3}-\frac{7}{2}}\) =?
\(\left(\frac{112}{13.20}+\frac{112}{20.27}+\frac{112}{37.34}+....+\frac{112}{62.69}\right):\left(\frac{5}{9.13}-\frac{7}{19.25}-\frac{13}{19.25}-\frac{31}{19.69}\right)\)=?
Tính hợp lí:
a. A= \(\left(\frac{112}{13.20}+\frac{112}{20.27}+\frac{112}{27.34}+.....+\frac{112}{62.69}\right)\): \(\left(-\frac{5}{9.13}-\frac{7}{9.25}-\frac{13}{19.25}-\frac{31}{19.69}\right)\)
b. B= \(\frac{2.2016}{1+\frac{1}{1+2}+\frac{1}{1+2+3}+\frac{1}{1+2+3+4}+......+\frac{1}{1+2+3+4+.....+2016}}\)
c. C= \(\frac{2^{12}.3^5-4^6.9^2}{\left(2^2.3\right)^6+8^4.3^5}-\frac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3+5^9.14^3}\)
Giúp mk vs nha! Mai mk phải nộp rùi
tks m.n nhìu
chứng minh
\(\frac{1}{5}+\frac{1}{16}+\frac{1}{25}+\frac{1}{41}+\frac{1}{60}+\frac{1}{85}+\frac{1}{113}< \frac{1}{2}\)\(\frac{1}{2}\)