1 + 1 + 20 + 100 = ?
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\(=\left(\dfrac{1}{100}-\dfrac{1}{1^2}\right)\left(\dfrac{1}{100}-\dfrac{1}{4}\right)\cdot...\cdot\left(\dfrac{1}{100}-\dfrac{1}{10^2}\right)\cdot...\cdot\left(\dfrac{1}{100}-\dfrac{1}{400}\right)\)
\(=\left(\dfrac{1}{100}-\dfrac{1}{100}\right)\cdot\left(\dfrac{1}{100}-1\right)\cdot...\cdot\left(\dfrac{1}{100}-\dfrac{1}{400}\right)\)
\(=0\cdot\left(\dfrac{1}{100}-1\right)\cdot...\cdot\left(\dfrac{1}{100}-\dfrac{1}{400}\right)=0\)
100-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1--20-20-20-20-20+123456789=123456822
A = (\(\dfrac{1}{100}\) - 12).(\(\dfrac{1}{100}\) - \(\dfrac{1}{2^2}\)).(\(\dfrac{1}{100}\) - \(\dfrac{1}{3^2}\))...(\(\dfrac{1}{100}\) - \(\dfrac{1}{20^2}\))
A = (\(\dfrac{1}{10^2}\) - 12).(\(\dfrac{1}{10^2}\) - \(\dfrac{1}{2^2}\)).(\(\dfrac{1}{10^2}\) - \(\dfrac{1}{3^2}\))..(\(\dfrac{1}{10^2}\) - \(\dfrac{1}{10^2}\))....(\(\dfrac{1}{10^2}\) - \(\dfrac{1}{20^2}\))
A = (\(\dfrac{1}{10^2}\) - 12).(\(\dfrac{1}{10^2}\) - \(\dfrac{1}{2^2}\)).(\(\dfrac{1}{10^2}\) - \(\dfrac{1}{3^2}\))...0.(\(\dfrac{1}{10^2}\) - \(\dfrac{1}{20^2}\))
A = 0
8:
\(A=\dfrac{20^{10}-1+2}{20^{10}-1}=1+\dfrac{2}{20^{10}-1}\)
\(B=\dfrac{20^{10}-3+2}{20^{10}-3}=1+\dfrac{2}{20^{10}-3}\)
mà 20^10-1>20^10-3
nên A<B
1 + 1 + 20 + 100 = 2 + 120 =122
k nha Phạm Thị Ánh Dương
122 nhé