1.
lim x→ 0+ f(x)
you will find the limit is inf
lim x→ 0- f(x)
you will find the limit is - inf
because
lim x→0+ f(x) no equal to lim x→0- f(x)
thus lim x→0 f(x) does not exist
2.
form the graph
lim x→2- f(x) = 6
lim x→2+ f(x)= -2
because
lim x→2- f(x) not equal tolim x→2+ f(x)
thus lim x→2 f(x) does not exist
hope this would help you.