- #1
eprparadox
- 138
- 2
Hello!
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!
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!