Question

Para qual valor converge a sequência abaixo:an=18n+20/6n+5 ajuda ai por favor

Answer 1

an=(18n+20)/(6n+5)
an=n(18+20/n)/n(6+5/n)
Lim (18+20/n)/(6+5/n)  =18/6 =3
n-->∞

Answer 2

Olá


$\displaystyle \mathsf{\sum\limits^\infty_{n=0} { \frac{18n+20}{6n+5} } \, }\\\\\\\mathsf{ \lim_{n \to \infty} ~a_n }\\\\\\\mathsf{ \lim_{n \to \infty} \frac{18n+20}{6n+5} }\\\\\\\mathsf{ \lim_{n \to \infty} \frac{\diagup\!\!\!\!n(18+ \diagup\!\!\!\!\!\!\frac{20}{n}^{~0}) }{\diagup\!\!\!\!n(6+ \diagup\!\!\!\!\!\frac{5}{n}^~{0}~ })} ~=~ \frac{18}{6} ~=~\boxed{3}}$