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.
by
Agnishom Chattopadhyay