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How can I justify that the infinite series 1 - 1 + 1 - 1 + 1 - 1.... is divergent?

If I were to look at this, I see every two terms canceling out and thus, and assume that it is convergent since the sum doesn't blow up. That's what my intuition would tell me.

I know I can use different tests to figure out that it is divergent, but I don't have an intuition for why it's so.

Any ideas? Thanks!

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# Infinite Series Intuition

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