Question

So sánh \(\frac{20^{10}+1}{20^{10}-1}\)và\(\frac{20^{10}-1}{20^{10}-3}\)

Answer 1

\(\frac{20^{10}+1}{20^{10}-1}=\frac{20^{10}-1}{20^{10}-3}\)

Answer 2

\(A=\frac{20^{10}+1}{20^{10}-1}\)và \(B=\frac{20^{10}-1}{20^{10}-3}\)

Ta có \(B>1\Rightarrow N=\frac{20^{10}-1}{20^{10}-3}>\frac{20^{10}-1+2}{20^{10}-3+2}=\frac{20^{10}+1}{20^{10}-1}=A\)

\(\Rightarrow B>A\)