Chapter 7: Q. 13 (page 656)
Convergence Tests for Series: Fill in the blanks.
The Divergence Test: If the sequence does not converge to ____, then the series__.
Short Answer
If the sequence does not converge to 0, then the series diverges.
Chapter 7: Q. 13 (page 656)
Convergence Tests for Series: Fill in the blanks.
The Divergence Test: If the sequence does not converge to ____, then the series__.
If the sequence does not converge to 0, then the series diverges.
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Get started for freeUse any convergence test from this section or the previous section to determine whether the series in Exercises 31–48 converge or diverge. Explain how the series meets the hypotheses of the test you select.
What is meant by a p-series?
Use the divergence test to analyze the given series. Each answer should either be the series diverges or the divergence test fails, along with the reason for your answer.
In Exercises 48–51 find all values of p so that the series converges.
Use the divergence test to analyze the given series. Each answer should either be the series diverges or the divergence test fails, along with the reason for your answer.
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