Limit notation for horizontal asymptotes is very similar to limit notation for vertical asymptotes. The only difference in setting up limit notation is, we have to write it as x approaches infinity or -infinity, f(x) will reach a certain number. This is due to the fact that we are looking for the horizontal asymptote and not vertical. Limit notation for horizontal actually means that when x is reaching infinity or negative infinity f(x) will be reaching a certain number. The 'y' in this case will forever be equivalent to 0.
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