1. ## find the limit

$\lim_{n \to \infty} \frac{3n}{2(n+1)}$

2. Originally Posted by varunnayudu
$\lim_{n \to \infty} \frac{3n}{2(n+1)}$
Multiply both numerator by $\frac{1}{n}$ to get $\lim_{n\to\infty}\frac{3}{2\left(1+\frac{1}{n}\rig ht)}=\dots$

3. Originally Posted by varunnayudu
$\lim_{n \to \infty} \frac{3n}{2(n+1)}$
using partial fraction: $\lim_{n \to \infty} \frac{3n}{2(n+1)} = \lim_{n \to \infty}\left(\dfrac{3}{2} - \dfrac{3}{2(n+1)}\right) = \dfrac{3}{2}$

in fact, since the numerator and the denominator are of the same degree, just take their respective leading coefficient..