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I was just thinking about the following series:

1-2+3-4+5...

I'm not familiar with any other series like this one(other than the alternating harmonic), and I was curious as to whether or not it would be convergent, and if reordering it to

-1+2-3+4-5....

would change its convergence.

If its divergent, which it seems it would be, is it divergent to negative or positive infinity?

This is probably a basic question, but I'm unable to figure it out right now. Any takers?

1-2+3-4+5...

I'm not familiar with any other series like this one(other than the alternating harmonic), and I was curious as to whether or not it would be convergent, and if reordering it to

-1+2-3+4-5....

would change its convergence.

If its divergent, which it seems it would be, is it divergent to negative or positive infinity?

This is probably a basic question, but I'm unable to figure it out right now. Any takers?

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