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Chapter 7: Q. 30 (page 639)
In Exercises 29鈥�34 use the ratio test to analyze whether the given series converges or diverges. If the ratio test is inconclusive, use a different test to analyze the series.
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The series diverges.
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The contrapositive: What is the contrapositive of the implication 鈥淚f A, then B.鈥�?
Find the contrapositives of the following implications:
If a quadrilateral is a square, then it is a rectangle.
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.
Prove Theorem 7.24 (a). That is, show that if c is a real number and is a convergent series, then .
Improper Integrals: Determine whether the following improper integrals converge or diverge.
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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