Chapter 10.5, Problem 34E

a) Consider the alternating series 2=1`12 (-1)* You attempt to estimate the sum of the series by adding together the first 10 terms. What is the maximum error or remainder in this calculation? b) Create and write down an alternating series that is divergent. Write a sentence to explain why it is divergent.

Give an example of an increasing sequence {an} that converges to 12. What can you conclude about the series En=1an? (Does it converge or diverge?) Give an example of a series that converges to 12. What can you conclude about the sequence {an}? (Does it converge or diverge?)

Use any method to determine whether the series converge., (a) 13* The series (b) 13 + 1 The serles 8.