# How do you find the vertical, horizontal or slant asymptotes for #(x^2+4)/(6x-5x^2)#?

Horizontal asymptote of

No slant asymptotes

Vertical asymptotes are

Since the numerator degree should be one greater than the denominator, which it is not, there are no slant asymptotes.

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To find the vertical asymptotes of ( \frac{x^2 + 4}{6x - 5x^2} ), set the denominator equal to zero and solve for ( x ). There are no horizontal or slant asymptotes for this rational function.

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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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