Discontinuity With an Absolute Value Function

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Let $f$ be the function given by $f(x) = \frac{x^2 - 1}{(x - 1)|x - 1|}$ . Which of the following statements is true?

f has a removable discontinuity at $x = 1$ .

f has a jump discontinuity at $x = 1$ .

f has a discontinuity due to a vertical asymptote at $x = 1$ .

$\lim_{x \to 1} f(x) = 2$

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