What is the horizontal asymptote of #y=1/x# ?
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The horizontal asymptote of y=1/x is y=0.
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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.
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 #f(x)= 1/(x+2)# as x approaches 2?
- How do you find the limit of # (-18-x)/(x-18)# as x approaches 18?
- What is the limit of #x^(1/x) # as x approaches infinity?
- For what values of x, if any, does #f(x) = 1/((x+2)(x-1)) # have vertical asymptotes?
- How do you find the limit #(xlnx)/(x^2-1)# as #x->1#?

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