Question

So sánh: \(A=\frac{20^{10}+1}{20^{10}-1}\) và \(B= \frac{20^{10}-1}{20^{10}+1}\)

Answer 1

So sánh \(\left(20^{10}+1\right)^2\)và \(\left(20^{10}-1\right)^2\)

\(20^{10}-1< 20^{10}+1\)

\(\Leftrightarrow\left(20^{10}+1\right)^2>\left(20^{10}-1\right)^2\)

\(\Rightarrow\frac{20^{10}+1}{20^{10}-1}>\frac{2^{10}-1}{2^{10}+1}\)