Đặt A = ( - 2 ) ( - 22 ) ( - 23 ) ..... ( - 22014 )
Vì A có lẻ thừa số => A mang dấu âm
mà 22027091 mang dấu dương
Vì âm < dương => A < 22027091
Vậy ( - 2 ) ( - 22 ) ( - 23 ) .... ( - 22014 ) < 22027091
So sánh:
\(\left(-2\right)\cdot\left(-2^2\right)\cdot\left(-2^3\right)...\left(-2^{2014}\right)\)và \(2^{2027091}\)
So Sánh \(A=\left(-2\right).\left(-2^2\right).\left(-2^3\right)......\left(-2^{2014}\right)\)
và \(B=2^{2027091}\)
Vậy A....B (>; <; =)
Cho A=\(\left(\dfrac{1}{2^2}-1\right)\)\(\left(\dfrac{1}{3^2}-1\right)\)\(\left(\dfrac{1}{4^2}-1\right)\)...\(\left(\dfrac{1}{2013^2}-1\right)\)\(\left(\dfrac{1}{2014^2}-1\right)\) và B= \(-\dfrac{1}{2}\)
Hãy so sánh A và B
\(A=\frac{\left(1-2\right).\left(1+2\right)}{2^2}.\frac{\left(1-3\right).\left(1+3\right)}{3^2}.......\frac{\left(1-2013\right).\left(1+2013\right)}{2013^2}.\frac{\left(1-2014\right).\left(1+2014\right)}{2014^2}\)
Cho \(A=\left(\frac{1}{2^2}-1\right)\left(\frac{1}{3^2}-1\right)\left(\frac{1}{4^2}-1\right)...\left(\frac{1}{2013^2}-1\right)\left(\frac{1}{2014^2}-1\right)\)
Và B =\(\frac{1}{2}\)
So sánh A và B
Hãy so sánh:\(A=\left(\frac{1}{2}-1\right).\left(\frac{1}{3}-1\right).\left(\frac{1}{4}-1\right)...\left(\frac{1}{2014}-1\right)vàB=\left(-1\right)^{2015}:2015\)
Cho P= \(\left(1-\frac{1}{2^2}\right)\)\(.\left(1-\frac{1}{3^2}\right).\left(1-\frac{1}{4^2}\right).....\left(1-\frac{1}{50^2}\right)\). So sánh P vs \(\frac{1}{2}\)
cho A=\(\left(\frac{1}{2^2}-1\right)\)\(\left(\frac{1}{3^2}-1\right)\)\(\left(\frac{1}{4^2}-1\right)\)...\(\left(\frac{1}{2013^2}-1\right)\)\(\left(\frac{1}{2014^2}-1\right)\)và B=\(-\frac{1}{2}\)hãy so sánh A và B
\(D=\frac{\left(2!\right)^2}{1^2}+\frac{\left(2!\right)^2}{3^2}+\frac{\left(2!\right)^2}{5^2}+\frac{\left(2!\right)^2}{7^2}+...+\frac{\left(2!\right)^2}{2015^2}\) so sánh D với 6
