What is the horizontal asymptote of the graph of #y=(3x^6-7x+10)/(8x^5+9x+10)#?

Answer 1

Well, I do not think that this function has a horizontal asymptote...

If you evaluate the limits at #oo# you get:
#lim_(x->oo)f(x)=oo# and
#lim_(x->-oo)f(x)=-oo#

The general form of your graph should be:

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Answer 2

The horizontal asymptote of the graph of y=(3x^6-7x+10)/(8x^5+9x+10) is y=0.

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Answer from HIX Tutor

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.

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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