(a)
To find: The series that is a divergent series.
(a)
Answer to Problem 34E
Since given series is an alternating series. So first make partial sum larger than one. Then add negative term to make it less than
Explanation of Solution
Given information:
Calculation: The given series is an alternating series. If its index
Keep adding positive terms until
Therefore, we can say that series is divergent in nature because it does not converge.
(b)
To find: The series that is a convergent to 4.
(b)
Answer to Problem 34E
First add positive terms! If the partial sum is larger than 4, add negative terms, and if the partial sum is less than 4, add positive terms, so that the partial sums are ever growing closer to 4. Then it is a convergent to 4.
Explanation of Solution
Given information:
Calculation: Since terms of the series is alternate between positive and negative.
Hence, make the partial sum is larger than four by adding positive terms. Then, make the partial sum is lower than four by adding negative terms. Repeat this process indefinitely. At the end
Chapter 10 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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