Question

lim \(\dfrac{3^{n+2}-4^{2n+1}}{5^{n+1}+3\cdot4^{2n}}\)

Answer 1

\(=\lim\dfrac{9.3^n-4.16^n}{5.5^n+3.16^n}=\lim\dfrac{9.\left(\dfrac{3}{16}\right)^n-4}{5\left(\dfrac{5}{16}\right)^n+3}=-\dfrac{4}{3}\)