Answer with Step-by-step explanation:
We are given that
We have to explain that why the function is discontinuous at x=2
We know that if function is continuous at x=a then LHL=RHL=f(a).
LHL=Left hand limit when x <2
Substitute x=2-h
where h is small positive value >0
Right hand limit =RHL when x> 2
Substitute
x=2+h
LHL=RHL=
f(2)=1
Hence, function is discontinuous at x=2