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## Main Question or Discussion Point

Hello everyone!

I was wondering whether the sequence (-1)^n is converging or diverging. According to Wikipedia, a sequence that doesn't have a limit (i.e, which doesn't converge), is automatically divergent. (-1)^n doesn't have a limit, yet all its values oscillate between 1 and -1, and doesn't tend to ∞. So, is it a divergent sequence or something else?

Thanks! :D

I was wondering whether the sequence (-1)^n is converging or diverging. According to Wikipedia, a sequence that doesn't have a limit (i.e, which doesn't converge), is automatically divergent. (-1)^n doesn't have a limit, yet all its values oscillate between 1 and -1, and doesn't tend to ∞. So, is it a divergent sequence or something else?

Thanks! :D