Convergent or Divergent Base Equations

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9 Terms

1
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1/x

divergent

2
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1/x²

convergent

3
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1/eⁿ

Convergent

4
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1/√x

divergent

5
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ln x

divergent

6
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If f(x)≥g(x)≥0 and ∫a to ∞ f(x)dx diverges...

....∫ a to ∞ g(x)dx converges.

7
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If f(x)≥g(x)≥0 and ∫a to ∞ g(x)dx diverges...

....∫ a to ∞ f(x)dx diverges.

8
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If ∫a to ∞ f(x)dx converges...

... ∫ b to ∞ f(x)dx converges

9
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If ∫a to ∞ f(x)dx diverges...

... ∫ b to ∞ f(x)dx diverges