# Homework Help: Does the Series Converge or Diverge?

1. Apr 29, 2012

### I'm Awesome

1. The problem statement, all variables and given/known data
Determine whether the infinite series converges or divergens. If it converges find its sum.
$\sum^{∞}_{k=1} \frac{k-3}{k}$

2. Relevant equations

3. 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.

2. Apr 29, 2012

### sid9221

You are contradicting yourself. Do you think it converges or diverges ?

Hint: This series doesn't converge try and use a comparison test too see why.

3. Apr 29, 2012

### I'm Awesome

Sorry, I ment to say that the series diverges by the test for divergence because the limit is not equal to 0.

4. Apr 29, 2012

### sid9221

Yes, by the non null test is this is divergent as the limit is not equal to zero.

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