Question

Identify and remove removable the discontinuities of
f(x)=sin(x^2-2x-3)/tan(x^2-2x-3)

Answer 1

I know the factor version is sin(x-3)(x+1)/tan(x-3)(x+1)

Answer 2

here are the discontinuous points
\[x=3+k \pi , x=-1+k \pi\] where \[k \in \mathbb{Z}\]
All of them removable with putting the value of cos(x-3)(x+1) in that points which is 1.

Answer 3

Oh okay thank you that makes a lot more sense thank you!