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1 solution
The limit does not exist. It is very simple:
Right sided limit = 1
Obs: We can remove the module because the limit on the right is just positive
Left sided limit = -1
Obs: Similarly, the left limit returns negative values
So:
If x>0 y = 1
If x<0 y = -1
Check the Graph:
If the lateral limits are different, the limit does not exist