How to find the asymptotes for #(3x^2) / (x^24)#?
Note that:
Also:
graph{(y(3x^2)/(x^24)) = 0 [10.09, 9.91, 3.6, 6.4]}
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To find the asymptotes of the function ( \frac{3x^2}{x^24} ), you need to consider the behavior of the function as ( x ) approaches certain values.

Vertical asymptotes: These occur where the denominator of the rational function equals zero. Set the denominator equal to zero and solve for ( x ). The values of ( x ) obtained are the vertical asymptotes.

Horizontal asymptotes: These occur when the degree of the numerator is less than or equal to the degree of the denominator. If the degrees are equal, divide the leading coefficients of both the numerator and denominator to find the horizontal asymptote.
In the case where the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote, but there may be a slant asymptote.
So, to find the asymptotes for ( \frac{3x^2}{x^24} ), follow these steps to find both vertical and horizontal asymptotes.
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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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