# Do polynomial functions have asymptotes? If yes, how do you find them?

The only polynomial functions that have asymptotes are the ones whose degree is 0 (horizontal asymptote) and 1 (oblique asymptote), i.e. functions whose graphs are straight lines.

This ends the proof and shows that the asymptotes at infinities exist if and only if the degree of the polynomial function is less or equal to 1. Their equations coincide with the equation of the function.

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Polynomial functions do not have asymptotes. Asymptotes typically occur in rational functions, which are the ratio of two polynomials. In polynomial functions, the degree of the polynomial determines the behavior of the function as ( x ) approaches positive or negative infinity. For example:

- If the degree of the polynomial function is even, both ends of the graph tend to infinity in the same direction.
- If the degree of the polynomial function is odd, one end of the graph tends to positive infinity while the other end tends to negative infinity.

To summarize, polynomial functions do not have asymptotes, but their behavior at positive and negative infinity depends on the degree and leading coefficient of the polynomial.

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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 #e^(-5x)# as x approaches #oo#?
- How do you evaluate # (x^4+5x^3+2x-1)/(7x^3+2x^2+9x+1)# as x approaches infinity?
- How do you find the limit of #xlnx# as #x->oo#?
- How do you evaluate the limit #(x^2-3x+2)/(x^2-4)# as x approaches #-2#?
- How do you find the x values at which #f(x)=1/(x^2+1)# is not continuous, which of the discontinuities are removable?

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