Question

Find the limit.

Answer 1

[[x]] = greater integer function*

Answer 2

\[\lim_{x \rightarrow -2}([[x]] + [[-x]])\]

Answer 3

Just to clarify that in fact:

\(\color{#000000 }{ \displaystyle \left[\left[-1.9\right]\right]=-2 }\) \(\color{#000000 }{ \displaystyle \left[\left[-2.1\right]\right]=-3 }\)
\(\color{#000000 }{ \displaystyle \left[\left[1.9\right]\right]=1 }\) \(\color{#000000 }{ \displaystyle \left[\left[2.1\right]\right]=2 }\)

Answer 4

Yes

Answer 5

You can use just that alone to tell me what your limit is.
Tell me what happens as \(\color{#000000 }{ \displaystyle x\to -2^+ }\) and as \(\color{#000000 }{ \displaystyle x\to -2^- }\)

Answer 6

-2 and -3?

Answer 7

elaborate please (?)