# How do you find the asymptotes for #ln(x-2)#?

Vertical asymptote at

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To find the asymptotes for ( \ln(x-2) ), you need to consider the domain of the natural logarithm function. Since the natural logarithm is defined only for positive values, the expression ( x - 2 ) inside the logarithm must be greater than zero. Thus, the domain of ( \ln(x-2) ) is ( x > 2 ).

Therefore, there are no vertical asymptotes for ( \ln(x-2) ). However, there is a vertical asymptote at ( x = 2 ) since the function is undefined for ( x = 2 ).

In summary, the only asymptote for ( \ln(x-2) ) is the vertical asymptote at ( x = 2 ).

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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.

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