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

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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:

$\map f 0 = 1$


Sources