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Discuss algebraically the continuity of the function f(x)=(x-1)/(x-4x+3). How many discontinuities does it have? Which one is removable or nonremovable and why?

Discuss algebraically the continuity of the function f(x)=(x-1)/(x²-4x+3). How many discontinuities does it have? Which one is removable or nonremovable and why?

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