I got me finals tomorrow. Proving the divergence of the Harmonic Series

[flyingpig]

Homework Statement

My professor warned us that a few proofs will be on the finals. This could be one of them.

However, we did a proof in class where he listed out a bunch of terms and then did an inequality to say it is divergent.

I personally hated that long proof. I don't want to bother writing out 50 terms just to prove this.

Now my question is, in Math, am I allowed to "prove" the Harmonic Series is divergent using a series test? Such as the Integral test?

 

[Dick]

Why not? The integral test is a valid test if you prove the series meets the requirements of the integral test. What are they? If you don't have that, a more elementary proof doesn't involve writing out 50 terms. It just involves thinking and grouping the terms. Why this whining about it?

 

[flyingpig]

I used to have some problems with proofs because I had trouble with a "particular case" and a "general case". I just wasn't **** about this one lol. Thanks anyways!