# How do you find the asymptotes for #e^x / x#?

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Vertical asymptotes:

Horizontal asymptotes:

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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 vertical and horizontal asymptote and holes for #f(x)= x/(x-5)#?
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- Over the x-value interval #[−10,10]#, what are the local extrema of #f(x)=x^2#?
- How do you find the vertical, horizontal or slant asymptotes for #f(x)= 1/x^2#?

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