Limiting Sum (1 of 3: Problems with Infinity)

[@ghotifish1838]

FINALLY I ACTUALLY UNDERSTAND THIS NOW THANK YOU LORD AND SAVIOUR

[@rudrasingh2732]

Well, actually 1/n diverges.

[@tahabashir9405]

yes when it goes to infinity right

[@joeltimonen8268]

The series diverges, but the sequence does not. The sequence 1/n converges to zero. This is actually a really good counterexample to a rather common misconception: "if the terms of a series go to zero, the series converges". The terms going to zero is a necessary condition but not a sufficient one for the convergence of a series.