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Convergence Tests for Series: Fill in the blanks.

The Divergence Test: If the sequence akdoes not converge to ____, then the seriesk=1ak__.

Short Answer

Expert verified

If the sequence akdoes not converge to 0, then the series k=1akdiverges.

Step by step solution

01

Step 1. Given Information

The given test is the divergence test.

02

Step 2. Explanation

  • According to the divergence test, if the sequence limkakdoes not exist or exist but is not equal to 0, then the series k=1akis divergent.
  • So, if akdoes not converge to 0, the series is divergent.

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