Question

Suppose
g(x)={1/x+1 if x<1
{2x-1 if x≥1

The best description concerning the continuity of g(x) is that the function:

is continuous.
has a jump discontinuity.
has an infinite discontinuity.
has a removable discontinuity.
has both jump and infinite discontinuity.

Answer 1

Would it be infinite?

Answer 2

infinite at x = -1
also, a jump at x=1
lim x->1- = 1/2
but g(1) = 1