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How do you find vertical asymptotes using limits?

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Aug 30, 2014

The vertical line #x=a# is a vertical asymptote of $f(x)$ if either
#lim_{x to a^-}f(x)=pm infty# or #lim_{x to a^+}f(x)=pm infty#.

So, we need to find #a#-values such that either the left-hand limit or the right-hand limit is #pm infty#.

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