Chapter 7: Q. 13 (page 639)
Explain how you could adapt the root test to analyze a seriesin which the terms of the series are all negative.
Short Answer
Hence proved.
Chapter 7: Q. 13 (page 639)
Explain how you could adapt the root test to analyze a seriesin which the terms of the series are all negative.
Hence proved.
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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.
The contrapositive: What is the contrapositive of the implication “If A, then B.”?
Find the contrapositives of the following implications:
If a quadrilateral is a square, then it is a rectangle.
Determine whether the series converges or diverges. Give the sum of the convergent series.
For each series in Exercises 44–47, do each of the following:
(a) Use the integral test to show that the series converges.
(b) Use the 10th term in the sequence of partial sums to approximate the sum of the series.
(c) Use Theorem 7.31 to find a bound on the tenth remainder, .
(d) Use your answers from parts (b) and (c) to find an interval containing the sum of the series.
(e) Find the smallest value of n so that localid="1649224052075" .
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