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What type of discontinuity occurs with the following function?

$$f(x)=\cfrac{|x+1|}{|x-1|}$$

A

Removable discontinuity at $x=-1$ and infinite discontinuity at $x=1$.

B

Infinite discontinuity at $x=-1$ and removable discontinuity at $x=1$.

C

Infinite discontinuity at $x=1$.

D

Removable discontinuity at $x=1$.

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