Locate the point of discontinuity of the function

ƒ(x) =


Given function f(x) =


Left hand limit at x = 1:




= 1 – 1 + 2 – 2


= 0


Right hand limit at x = 1:




= 1 – 1 + 2 – 2


= 0


Also, f(1) = 4


As we can see that,



Therefore,


f(x) is not continuous at x = 1


1