Số các thừa số của A là (2014 - 1) + 1 = 2014 thừa số
=> A luôn dương
\(\Rightarrow A=2.2^2.2^3......2^{2014}\)
\(=2^{1+2+3+...+2014}\)
\(=2^{\frac{2014\left(2014+1\right)}{2}}\)
\(=2^{2029105}>2^{2027091}\)
\(\Rightarrow A>B\)
So sánh:
\(\left(-2\right)\cdot\left(-2^2\right)\cdot\left(-2^3\right)...\left(-2^{2014}\right)\)và \(2^{2027091}\)
so sánh
\(\left(-2\right)\left(-2^2\right)\left(-2^3\right).....\left(-2^{2014}\right)\)vs\(2^{2027091}\)
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
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
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
So sánh P và Q biết :
\(P=a\left\{\left(a-3\right)-\left[\left(a+3\right)-\left(-a-2\right)\right]\right\}\)
\(Q=\left[a+\left(a+3\right)\right]-\left[\left(a+2\right)-\left(a-2\right)\right]\)
\(A=\frac{\left(1-2\right).\left(1+2\right)}{2^2}.\frac{\left(1-3\right).\left(1+3\right)}{3^2}.......\frac{\left(1-2013\right).\left(1+2013\right)}{2013^2}.\frac{\left(1-2014\right).\left(1+2014\right)}{2014^2}\)
A=\(\left(\frac{1}{2^2}-1\right)\left(\frac{1}{3^2}-1\right)............\left(\frac{1}{2017^2}-1\right)\left(\frac{1}{2018^2}-1\right)\)
B=\(-\frac{1}{2}\)
So sánh A và B
so sánh A=\(\left[\left(3^5\right)^2\right]^5\)với B=\(\left[\left(5^2\right)^5\right]^2\)
