# What is the limit of #f(x) = -1/(2(lnx)^2)# ?

Since the question does not specify which limit is sought, I will deal with both possibilities.

graph{ -1/(2(lnx)^2) [-3.024, 9.463, -3.62, 2.617]}

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The limit of f(x) as x approaches infinity 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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