# How do you use the integral test to determine if #ln2/sqrt2+ln3/sqrt3+ln4/sqrt4+ln5/sqrt5+ln6/sqrt6+...# is convergent or divergent?

The sum diverges.

Since the integral diverges, the sum also diverges.

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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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