Question

\(\frac{3^{10}+1}{3^9+1}và\frac{3^9+1}{3^8+1}\)

Answer 1

\(\frac{3^{10}+1}{3^9+1}>1\Rightarrow\frac{3^{10}+1}{3^9+1}>\frac{3^{10}+1+2}{3^{10}+1+2}\)

\(\Rightarrow\frac{3^{10}+1}{3^9+1}>\frac{3^{10}+3}{3^9+3}\)

\(\Rightarrow\frac{3^{10}+1}{3^9+1}>\frac{3.3^9+1}{3.3^8+1}\)

\(\Rightarrow\frac{3^{10}+1}{3^9+1}>\frac{3^9+1}{3^8+1}\)

\(\Rightarrow KL\)

P/S: Cai cho \(\frac{3.3^9+1}{3.3^8+1}\)ban nho them dong mo ngoac vao 3⁹+1 va 3⁸+1 nhe. Thanks ban truoc. Nho k minh nha.