Harmonic Series is Divergent/Proof 3

Proof
We have that the Integral of Reciprocal is Divergent.

Hence from the Integral Test, the harmonic series also diverges.

Note
The integral test works in both directions.

That is, it can also be used to show that Integral of Reciprocal is Divergent based on Harmonic Series is Divergent.

This could lead to a circular proof.

Hence, if the integral test is used here, it should not be used to prove Integral of Reciprocal is Divergent.

Instead, use for instance the definition of the natural logarithm as integral of reciprocal.