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Qube

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## Homework Statement

f(x) = ln[(x-x^2)/x]

Is x = 0 a removable discontinuity?

## Homework Equations

Removable discontinuities are points that can be filled in on a graph to make it continuous.

## The Attempt at a Solution

Is it? I know that with rational functions, canceling out factors can result in removable discontinuities. For example, the function (x+2)/[(x+2)(x+3)] has a removable discontinuity at x = -2 since the factor (x+2) can be canceled out.

What about rational functions inside logarithms?