# Does the Series Converge or Diverge?

## Homework Statement

Determine whether the infinite series converges or divergens. If it converges find its sum.
$\sum^{∞}_{k=1} \frac{k-3}{k}$

## 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.

## Answers and Replies

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.

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.

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.

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

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