# What are the removable and non-removable discontinuities, if any, of #f(x)=(x(x - 2))/(x(x - 2)(x - 2))#?

This function has a removable discontinuity at

graph{1/(x-2) [-10, 10, -5, 5]}

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The function f(x) = (x(x - 2))/(x(x - 2)(x - 2)) has a removable discontinuity at x = 0 and non-removable discontinuities at x = 2.

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