Question

Direct comparison test and Limit comparison test for series. Small question.

Answer 1

In the red circle for the example, why is for all \[n \ge 1 \] when n = 0?

Answer 2

Agree!
It is probably meant to be n\(\ge\)0.
However, for proving convergence of the sum, it could have been n\(\ge\)1, 2, 3 or 4, and the proof would be still valid. Convergence is not affected by the addition of some number of constants.

Answer 3

Ah, okay I see. Thanks all :)

Answer 4

You're welcome! :)