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## Homework Statement

Determine whether the infinite series converges or divergens. If it converges find its sum.

[itex] \sum^{∞}_{k=1} \frac{k-3}{k}[/itex]

## Homework Equations

## The Attempt at a Solution

I found the limit and realized that the limit is 1. So I said that the series converges by the test for divergence. And since it diverges I don't have to worry about finding a sum.

However, I'm not sure if I'm using the test for divergence right.