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#### karush

##### Well-known member

- Jan 31, 2012

- 3,071

Basically I am trying to understand this question,

the graph is $$\lim_{x to a} {([[x]]+[[-x]])}$$

the last \(\displaystyle 2\) lines are the answers from W|A.

First, is looks like an greatest integer function, or notated as the floor function

next I presume \(\displaystyle \displaystyle x\rightarrow\text{a}\) is where on the \(\displaystyle x\) axis where the limit exists

it appears just from the graph that there are holes at the integer values

but not sure what the imaginary part means?