# How do you use the direct Comparison test on the infinite series #sum_(n=1)^ooln(n)/n# ?

By Comparison Test with the harmonic series,

Let us look at some details.

(Note: It is okay even if the first few terms do not satisfy the inequality since the sum of those terms is finite, which does not affect the convergence of the whole series.)

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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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- How do you use the direct comparison test for infinite series?

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