Giải thích các bước giải:
$\lim\dfrac{5^{n-1}-3^n+24^{\frac n2}}{5^n+2.3^{n+1}}$
$=\lim\dfrac{\dfrac{5^{n}}{5}-3^n+\sqrt{24}^{n}}{5^n+6.3^{n}}$
$=\lim\dfrac{\dfrac{1}{5}-\dfrac{3}{5}^n+\dfrac{\sqrt{24}}{5}^{n}}{1+6.\dfrac{3}{5}^{n}}$
$=\dfrac{\dfrac{1}{5}-0+0}{1+0}$
$=\dfrac 15$