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## Homework Statement

I'm trying to find out whether or not this sequence diverges or converges. If it converges, then what's the limit.

{4+sin(1/2*pi*n)}

## The Attempt at a Solution

This one is a bit confusing to me since sin oscillates between 1 and -1. So if you plug in (pi*infinity)/2, that would go back and forth. So does that mean that the limit does not exist?

Thanks in advance.