\(S=\frac{1}{2}+\left(\frac{1}{2}\right)^2+\left(\frac{1}{2}\right)^3+.......+\left(\frac{1}{2}\right)^{2017}\)
\(\Rightarrow2S=1+\frac{1}{2}+\left(\frac{1}{2}\right)^2+......+\left(\frac{1}{2}\right)^{2016}\)
\(\Rightarrow2S-S=1-\left(\frac{1}{2}\right)^{2017}\)
\(\Rightarrow S=1-\left(\frac{1}{2}\right)^{2017}< 1\left(đpcm\right)\)
CHO S= 1/2+(1/2)^2+(1/2)^3+(1/2)^4+...+(1/2)^2016+(1/2)^2017.CHỨNG MINH S<1
S=1/2^2+1/3^2+1/4^2+....+1/9^2.Chứng minh rằng 2/5 < S <8/9
S=(1+1/2)+(1+1/22)+(1+3/23)+...+(1+2014/22014)
Chứng minh rằng S<2016
S=(1+1/3).(1+1/3^2).(1+1/3^4)......(1+1/3^500)
chứng minh rằng: S<3/2
cho S=1/99-1/100^2-1/101^2-...-1/2013^2
chứng minh rằng : S>1/2013
chứng minh rằng S=1/1^2+1/2^2+1/3^2+1/4^2+...+1/100^2<12/3
Cho S=\(\frac{1}{2^0}+\frac{2}{2^1}+\frac{3}{2^2}+...+\frac{1992}{2^{1991}}\). Chứng minh rằng S<4
Cho S= (1 +1/2)+(1+2/22)+(1+2/23)+...+(1+2014/22014)
Chứng minh rằng S<2016
Làm ơn giúp mình
Mình sẽ báo đáp tử tế
S=\(\frac{1}{1!}+\frac{1}{2!}+\frac{1}{3!}+...\frac{1}{2012!}\)
Chứng minh rằng: S<2
