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olga_2 [115]
3 years ago
5

HELP PLEASE!! WILL GIVE BRAINLIEST 30 Points

Mathematics
2 answers:
Olin [163]3 years ago
6 0
An example of this is

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

1 is removable discontinuity
2 is non-removable discontinuity
11Alexandr11 [23.1K]3 years ago
6 0

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\neqRHL

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

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