# How do you find where #f(x)=1/ln(x)# is continuous and differentiable on which interval(s)?

It's continuous and differentiable on the union

Moreover, if you are interested, the Quotient Rule gives

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The function f(x) = 1/ln(x) is continuous and differentiable on the interval (1, ∞).

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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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