Question

The graph is of x/x^2-x has the discontinuities at:

Non-removable at x = 0

Removable at x = 0

Removable at x = 0; Non-removable at x =1

Non-removable at x = 0; Removable at x = 1

The graph is continuous for all real numbers.

Answer 1

Removable at x = 0; Non-removable at x =1
Do you need explanation?

Answer 2

Are you positive? @eliassaab

Answer 3

\[
\frac x{x(x-1)}=\frac 1{x-1}
\]

Answer 4

Yes, I am positive.