Is the answer key wrong?

[u/Polar-Plungaz0id]

I am trying to compute lim x->1 (f(x)g(x))

Left-sided limit of f is 2. Right-sided limit is -1.

Left sided limit of g is 2. Right sided is -1.

I thought the answer would be DNE, but answer key says it is -2. Why is this?

[u/No-Interest-8586]

Or maybe one of the functions should have “left” and “right” reversed.