SO SÁNH:
A=\(\frac{\frac{2016}{1}+\frac{2015}{2}+\frac{2014}{3}+.....+\frac{2}{2015}+\frac{1}{2016}}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+.....+\frac{1}{2016}+\frac{1}{2017}}\)
VÀ
B=2017
1/Tính nhanh
P=(1-\(\frac{1}{2^2}\)) x (1-\(\frac{1}{3^2}\)) x (1-\(\frac{1}{4^2}\)) x ... x (1-\(\frac{1}{50^2}\))
2/Cho Q=(1-\(\frac{1}{2^2}\)) x (1-\(\frac{1}{3^2}\)) x (1-\(\frac{1}{4^2}\)) x ... x (1-\(\frac{1}{40^2}\)) . So sánh Q với \(\frac{1}{2}\)
3/So sánh: A = \(\frac{2016^{2016}+1}{2016^{2017}+1}\)và B = \(\frac{2016^{2017}-3}{2016^{2018}-3}\)
So sánh A = \(\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+\frac{1}{2^4}+...+\frac{1}{2^{2016}}\)với 1
choa=\(\frac{2}{2^1}+\frac{3}{2^2}+...+\frac{2017}{2^{2016}}\)
so sánh a với 3
So sánh \(\frac{1}{3}+\frac{2}{3^2}+\frac{3}{3^3}+...+\frac{2016}{3^{2016}}\)với \(\frac{3}{4}\)
Xét tổng S=\(\frac{2}{2^1}+\frac{3}{2^2}+...+\frac{n+1}{2^n}+...+\frac{2016}{2^{2015}}\)
So sánh S với 3
Cho \(A=\left(\frac{1}{2^2}-1\right)\left(\frac{1}{3^2}-1\right)...\left(\frac{1}{2016^2}-1\right)\)
So sánh A với \(\frac{-1}{2}\)
ae giúp mình câu này nhé
So sánh A và B biết: A= \(\frac{1}{2}+\frac{2}{2^2}+\frac{3}{2^3}+...+\frac{2016}{2^{2016}}\)và B=2
So sánh\(\frac{A}{B}\) và\(1\frac{2015}{2016}\)biết:
\(A=1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{4030};B=1+\frac{1}{3}+\frac{1}{5}+...+\frac{1}{4029}\)