# How do you find the limit of #ln(lnt)# as #t->oo#?

The answer is

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To find the limit of ln(lnt) as t approaches infinity, we can use the properties of logarithms and limits.

Let's substitute u = lnt, so t = e^u.

As t approaches infinity, u also approaches infinity.

Now, we can rewrite the expression as ln(u).

The limit of ln(u) as u approaches infinity is infinity.

Therefore, the limit of ln(lnt) as t approaches infinity is also infinity.

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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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