# How do you find the horizontal asymptote for #y = (x + 1)/(x - 1)#?

Horizontal asymptote is

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To find the horizontal asymptote for the function ( y = \frac{x + 1}{x - 1} ), you compare the degrees of the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degrees are equal, divide the leading coefficients. If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote. In this case, the degree of the numerator and denominator is the same (1), so the horizontal asymptote is the ratio of the leading coefficients, which is ( y = \frac{1}{1} = 1 ). Thus, the horizontal asymptote is ( y = 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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