Homework 4

• June 7:
  • 8.1: 1, 10, 22
  • If |a_n| goes to L, is it true that a_n goes to L? If it is, give an argument. If it is not, then give a sequence in which it fails to hold
  • Ensure that you know the formal definition for a limit of sequence: lim a_n goes to L if and only if for every epsilon > 0 there is some natural number N such that for all n > N it holds that | a_n - L | < epsilon
• June 10:
  • 8.1: 38, 40
  • 8.2: 10, 12, 14, 26
• June 11:
  • 8.3: 2,9,12,19,27,28
  • Determine if each of the following converge or diverge (show all work):
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    • 
    • 
• June 12:
  • 8 Review: 9, 11, 13, 17 (try Root Test)
• More Soon