One-Sided Limit of Real Function/Examples/Floor of 1 minus Size x

Example of One-Sided Limit of Real Functions

 * Floor-of-1-minus-abs-x.png

Let $f: \R \to \R$ be the real function defined as:
 * $\map f x = \floor {1 - \size x}$

Then:


 * $\ds \lim_{x \mathop \to 0} \map f x = 0$

but:
 * $\map f 0 = 1$