Real sequence/Fraction with roots/1/Exercise

Decide whether the real sequence

${}x_{n}={\frac {5n^{\frac {3}{2}}+4n^{\frac {4}{3}}+n}{7n^{\frac {5}{3}}+6n^{\frac {3}{2}}}}\,$

(with ${}n\geq 1$) converges in ${}\mathbb {R}$, and determine, if applicable, the

limit.

Create a solution