\(\lim\dfrac{2^n.3^n-3^n.4^n+5^{2n}}{3^n.4^n-4^n.5^n+6^{2n}}\) là
\(0\).\(-2\).2.\(\dfrac{1}{2}\).Hướng dẫn giải:\(\lim\dfrac{2^n.3^n-3^n.4^n+5^{2n}}{3^n.4^n-4^n.5^n+6^{2n}}\)\(=\lim\dfrac{\left(\dfrac{2}{6}\right)^n.\left(\dfrac{3}{6}\right)^n-\left(\dfrac{3}{6}\right)^n.\left(\frac{4}{6}\right)^n+\left(\frac{5}{6}\right)^n}{\left(\dfrac{3}{6}\right)^n.\left(\dfrac{4}{6}\right)^n-\left(\dfrac{4}{6}\right)^n.\left(\dfrac{5}{6}\right)^n+1}=0\).
