about limits

[fatemeh8989]

Lim sgn (sin(x)) as x→a (a=Kπ or a≠Kπ)=?

and also do you have any graph of this function...?

 

[pka]

Lim sgn (sin(x)) as x→a (a=Kπ or a≠Kπ)=?

The point of this question is that if \(\displaystyle a\ne k\pi\) then \(\displaystyle \sin(a)\ne 0\) so \(\displaystyle sgn(\sin(a))=\pm1\)