the best description concerning the continuity of g(x) is?

Question

g(x)={1/(x+1) if x<1

{2x-1 if x> or equal to 1

 

 

Answer 1

at x=1, limit g(x) as x approaches l from the left is ½ but the right limit is 1, so there's a jump discontinuity at 1.

 

Also, -1 is not in the domain; there's a vertical asymptote there.

 

lim as x→-1^- is negative infinity but limit as x→-1⁺ is positive infinity.