# What are the vertical asymptotes of #f(x) = (2)/(x^2 - 1)#?

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The vertical asymptotes of ( f(x) = \frac{2}{x^2 - 1} ) occur where the denominator equals zero. So, to find the vertical asymptotes, you set the denominator equal to zero and solve for ( x ).

( x^2 - 1 = 0 )

This equation can be factored as ( (x - 1)(x + 1) = 0 ).

Therefore, the vertical asymptotes occur at ( x = 1 ) and ( x = -1 ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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