mình cần câu b thôi
mà câu a có sai đâu
mình cần câu b thôi
mà câu a có sai đâu
So sánh: \(\frac{3}{5.2!}+\frac{3}{5.3!}+\frac{3}{5.4!}+...+\frac{3}{5.100!}\) với 0,6
CMR:
\(\frac{3}{5.2!}\)+\(\frac{3}{5.3!}\)+\(\frac{3}{5.4!}\)+ ..... +\(\frac{3}{5.100!}\)<0,6\(\frac{3}{4!}\)+\(\frac{3}{5!}\)+\(\frac{3}{6!}\)+ ..... +\(\frac{3}{100!}\)<\(\frac{1}{3!}\)CM
\(\frac{3}{5.2!}\)+\(\frac{3}{5.3!}\)+\(\frac{3}{5.4!}\)+ ..... +\(\frac{3}{5.100!}\)<\(0,6\)
a, Cho A= 1/99 + 2/98 + 3/47 + .......... + 98/2 + 99/1
B= 1/2 + 1/3 + 1/4 + ..........+ 1/99 + 1/100
Tính B/A
b, Cho A= 1/49 + 2/48 + 3/47 +.......+ 48/2 +49/1
B= 1 + 2/3 + 2/4 +......+ 2/49 + 2/50
Tính A/B
Cho biểu thức : \(C=\dfrac{1}{3}-\dfrac{2}{3^2}+\dfrac{3}{3^3}+\dfrac{4}{3^4}+...+\dfrac{99}{3^{99}}-\dfrac{100}{3^{100}}\) CMR: \(C< \dfrac{3}{16}\)
CMR: \(\dfrac{1}{3}-\dfrac{2}{3^2}+\dfrac{3}{3^3}-\dfrac{4}{3^4}+...+\dfrac{99}{3^{99}}-\dfrac{100}{3^{100}}< \dfrac{3}{16}\)
CMR:
a,\(100\left(1+\frac{1}{2}+\frac{1}{3}+..........+\frac{1}{100}\right)=\frac{1}{2}+\frac{2}{3}+\frac{3}{4}+........+\frac{99}{100}\)
CMR 1/2!+2/3!+3/4!+...+99/100!<1