# find the limit

• Dec 22nd 2008, 09:39 PM
varunnayudu
find the limit
$\lim_{n \to \infty} \frac{3n}{2(n+1)}$
• Dec 22nd 2008, 09:42 PM
Chris L T521
Quote:

Originally Posted by varunnayudu
$\lim_{n \to \infty} \frac{3n}{2(n+1)}$

Multiply both numerator by $\frac{1}{n}$ to get $\lim_{n\to\infty}\frac{3}{2\left(1+\frac{1}{n}\rig ht)}=\dots$
• Dec 22nd 2008, 09:46 PM
kalagota
Quote:

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..