Question

HELP PLEASE!! WILL GIVE BRAINLIEST 30 Points

Answer 1

An example of this is

F(x) = (x-1)/((x-1)(x-2))

1 is removable discontinuity
2 is non-removable discontinuity

Answer 2

Answer:

f(x)=$\frac{x-1}{(x-1)(x-2)}$

Step-by-step explanation:

Removable discontinuity function : When left hand limit and right hand limit are equal then limit exist of the function

But$\lim_{x\rightarrow a}f(x)\neq f(a)$

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$\neq$RHL

Example

Suppose f(x)=$\frac{x-1}{(x-1)(x-2)}$

Function have removable discontinuity at x= and function have non removable discontinuity at x=2