# How do you find the horizontal asymptote of the graph of #y=6x^2# ?

See explanation.

To find if a function has a horizontal assymptote you have to calculate the limit:

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To find the horizontal asymptote of the graph of y=6x^2, we need to determine the behavior of the function as x approaches positive or negative infinity. In this case, as x becomes very large (positive or negative), the value of y=6x^2 also becomes very large. Therefore, there is no horizontal asymptote for the graph of y=6x^2.

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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.

- How do you find the limit of #(((2+x)^3) -8 )/ x# as x approaches 0?
- How do you evaluate the limit #sqrt(x-1)/(x-4)# as x approaches #3#?
- What is the limit as x approaches 0 of #sin^2(x) 4x#?
- How do you find the x values at which #f(x)=3x-cosx# is not continuous, which of the discontinuities are removable?
- How do you find the limit of #(sin (2x)) / (sin (3x)) # as x approaches 0?

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