# What is the horizontal asymptote of #f(x) = (x+1) / (x^2 +3x - 4)#?

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y=0

If the polynomial in the numerator is a lower degree than the denominator, the x-axis (y = 0) is the horizontal asymptote. The degree is the power of the x variable(s).

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To find the horizontal asymptote of the function (f(x) = \frac{x + 1}{x^2 + 3x - 4}), we observe the behavior of the function as (x) approaches positive or negative infinity.

First, we analyze the degrees of the numerator and denominator. Since the degree of the numerator (1) is less than the degree of the denominator (2), the horizontal asymptote occurs at (y = 0).

Therefore, the horizontal asymptote of the function (f(x) = \frac{x + 1}{x^2 + 3x - 4}) is (y = 0).

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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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- How do I find the range of the function. #y=2+sinx#?
- How do you find the asymptotes for #(x^2+3x-4)/x#?

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