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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Explain why a function a(x) has to be continuous in order for us to use the integral test to analyze a series for convergence.
Explain why, if n is an integer greater than 1, the series diverges.
Explain why the integral test may be used to analyze the given series and then use the test to determine whether the series converges or diverges.
Use either the divergence test or the integral test to determine whether the series in Given Exercises converge or diverge. Explain why the series meets the hypotheses of the test you select.
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