This question is a weird one. I may have a potential answer for it, but I'm not confident in how good it is.

Discuss the convergence of the series (as completely as possible)

What is the effect of removing the square brackets?

My current answer is uncertain, but here's what I have.

If the series is , we have

At a certain point, is nearly equal to 1.

As such, adding an infinite number of 1's together cannot be a finite number.

Therefore, the series is divergent.

Does my answer have any holes in its logic? And I also haven't figured out what the effect of "removing the square brackets" would do.