Answer:
f(x)=[tex]\frac{x-1}{(x-1)(x-2)}[/tex]
Step-by-step explanation:
Removable discontinuity function : When left hand limit and right hand limit are equal then limit exist of the function
But[tex]\lim_{x\rightarrow a}f(x)\neq f(a)[/tex]
Then , the function have removable discontinuity.
Non- removable discontinuity function: If left hand limit and right hand limit are both limit of given function exist but not equal then the function have non- removable discontinuity.
LHL[tex]\neq[/tex]RHL
Example
Suppose f(x)=[tex]\frac{x-1}{(x-1)(x-2)}[/tex]
Function have removable discontinuity at x= and function have non removable discontinuity at x=2
