Approaching Zero

Calculus Level 2

$\boxed{\begin{array}{c|r:r:r:r:r} x & 0.1 & 0.01& 0.001& 0.0001& 0.00001\\ \hline \lfloor x \rfloor & 0 & 0 & 0 & 0 & 0 \end{array}}$

By looking at the table above, is it true that as $x$ approaches 0, then $\lfloor x \rfloor$ approaches 0 as well?
That is, is $\displaystyle \lim_{x\to0} \lfloor x\rfloor = 0$ correct?

Notation: $\lfloor \cdot \rfloor$ denotes the floor function.