S= 1/1+2 +1/1+2+3 +...+1/1+2+3+...+2013
tinh tong S=2013+2013/1+2+2013/1+2+3+...+2013/1+2+3+...+2012
Tính tổng :
\(S=\frac{1}{2013-1}+\frac{2}{2013+1}+\frac{2^2}{2013^2+1}+\frac{2^3}{2013^{2^2}+1}+.....+\frac{2^{n+1}}{2013^{2^n}+1}\)
giúp mình với mình ttick cho]
tính tổng S = 2013 + 2013/ 1+2 2013/ 1+2+3 + ..... + 2013 / 1+2+3+...+2012
cho S=1-1/2+1/3-1/4+...+1/2011-1/2012+1/2013 và P=1/1007+1/1008+...+1/2013
Tính (s-P)^2013
cho S=1-1/2+1/3-1/4+...+1/2011-1/2012+1/2013 và P=1/1007+1/1008+...+1/2013
Tính (s-P)^2013
\(S=1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{2011}-\frac{1}{2012}+\frac{1}{2013}\)
\(S=1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2012}+\frac{1}{2013}-2\left(\frac{1}{2}+\frac{1}{4}+...+\frac{1}{2012}\right)\)
\(S=1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2012}+\frac{1}{2013}-\left(1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{1006}\right)\)
\(S=\frac{1}{1007}+\frac{1}{1008}+...+\frac{1}{2013}\)
\(\Rightarrow\left(S-P\right)^{2013}=0^{2013}=0\).
à há mình ko biết
Tính
\(S=\dfrac{1}{2}\left(1+2\right)+\dfrac{1}{3}\left(1+2+3\right)+\dfrac{1}{4}\left(1+2+3+4\right)+...+\dfrac{1}{2013}\left(1+2+3+...+2013\right)+\dfrac{1}{2014}\left(1+2+3+...+2014\right)\)
Cho S= 1+1/2+1/2^2+1/2^3+...+1/2^2013+1/2^2014.So sánh S và 2
Cho S= 1+1/2+1/2^2+1/2^3+...+1/2^2013+1/2^2014. So sánh S và 2.
Cho S=1-1/2+1/3-1/4+...+1/2011-1/2012+1/2013 và P=1/1007+1/1008+...+1/2013.Tính (S-P)^2013
S-P= (1 - 1/2 + 1/3 - 1/4 +...+ 1/2011 - 1/2012 + 1/2013) - ( 1/1007 + 1/1008 +...+ 1/2012 + 1/2013 )
S-P= (1- 1/2 + ... + 1/1005 - 1/1006) - 2.(1/1008 + 1/1010 + 1/1012 +...+ 1/2012)
S-P= 1+1/2+1/3+...+1/1006 - 2.( 1/2 + 1/4 + 1/6 +...+ 1/2012)
S-P= 1 + 1/2 + 1/3 +...+ 1/1006 - ( 1+ 1/2 + 1/3 +...+ 1/1006 )
S-P= 0
Suy ra (S-P)^2013 = 0