How to find the asymptotes of #R(x)=2/(x3)#?
Domain is
Vertical Asymptote is
Horizontal Asymptote
Slant asymptote none.
No slant asymptote as degree of numerator is not exactly one more than that of the denominator
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To find the asymptotes of the function (R(x) = \frac{2}{x3}), we need to identify vertical and horizontal asymptotes:

Vertical Asymptote: Vertical asymptotes occur where the denominator of the rational function equals zero, but the numerator does not. In this case, the vertical asymptote occurs when (x  3 = 0), so (x = 3).

Horizontal Asymptote: To find the horizontal asymptote, we examine the behavior of the function as (x) approaches positive or negative infinity. For rational functions like this one, the degree of the numerator and denominator determines the horizontal asymptote. Since the degree of the numerator is less than the degree of the denominator (which is 1), the horizontal asymptote is (y = 0).
Therefore, the asymptotes of (R(x) = \frac{2}{x3}) are:
 Vertical asymptote: (x = 3)
 Horizontal asymptote: (y = 0)
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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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