Question

Locate and classify all the discontinuities of
the function f defined by
f(x) =
5|x − 1| − 6 sin(x − 1)/(x^2 − 1)
.
1. x = −1 infinite; x = 1 jump
2. x = 0,−1 infinite; x = 1 removable
3. x = −1, 1 infinite
4. x = −1 infinite; x = 1 removable
5. x = −1 infinite; x = 0, 1 jump
6. x = 1 infinite; x = −1 jump