Question

A sequencia an = 20n +3 / 5n +1 converge para:

Answer 1

$\lim\limits_{n\to\infty}a_n$


$\lim\limits_{n\to\infty}\dfrac{20n+3}{5n+1} =\lim\limits_{n\to\infty}\dfrac{n(20+\frac{3}{n})}{n(5+\frac{1}{n})}=\lim\limits_{n\to\infty}\dfrac{20+\frac{3}{n}}{5+\frac{1}{n}}=\dfrac{20+0}{5+0}=\dfrac{20}{5}=4$