# How do you find the limit of #(cot(x)) / (ln(x))# as x approaches 0?

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To find the limit of (cot(x)) / (ln(x)) as x approaches 0, we can use L'Hôpital's Rule. Taking the derivative of the numerator and denominator separately, we get -csc^2(x) for the numerator and 1/x for the denominator. Evaluating the limit of these derivatives as x approaches 0, we have -1 for the numerator and positive infinity for the denominator. Therefore, the limit of (cot(x)) / (ln(x)) as x approaches 0 is 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.

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