# Math Help - Sequence of sin(1/n) Why does it not converge

1. ## Sequence of sin(1/n) Why does it not converge

$\lim_{n\rightarrow \infty} a_{n} = \sin(\frac{1}{n}) = \sin(\frac{1}{\infty}) = sin(0) = 0$ Converges to Zero

2. Originally Posted by Fallen186
$\lim_{n\rightarrow \infty} a_{n} = \sin(\frac{1}{n}) = \sin(\frac{1}{\infty}) = sin(0) = 1?$
uhh ... sin(0) = 0