RHL and LHL of $\frac{\sin([x])}{[x]}$

Question

I've to find the limit of $\dfrac{\sin([x])}{[x]}$ at $x \to 0$. I got the LHL as $\sin(1)$. According to the book, the RHL is outside domain. So, Limit exists. Could someone please explain how the RHL is out of domain?

P.S.: $[.]$ is Greatest Integer Function.

Answer 1

R.H.L. will have Numerator = $0$ and Denominator = $0$.
and $\cfrac 00$ is indeterminate.