What is the vertical asymptote of a log function?
Logarithm functions are defined on
Thus, the
See general logarithms .
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The vertical asymptote of a log function is a vertical line that the graph of the function approaches but never touches or crosses. It occurs when the input of the logarithm approaches zero or becomes negative. For the common logarithm (base 10), the vertical asymptote is the line x = 0. For natural logarithm (base e), the vertical asymptote is the line x = 0 as well.
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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.
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