Math 106d Name
Quiz 5
11/9/12
Read directions carefully and show your work. Partial credit will be assigned based upon the correctness,
completeness, and clarity of your answers.
1. Consider the sequence {an}โ
n=1 where an= 1 + (โ1)n.
Find the first 5 terms of this sequence. Does this sequence converge? If so, find its limit. If not, then
explain why it diverges.
2. Consider the sequence nsin k
koโ
k=1. Does this sequence converge? If so, find its limit. If not, then
explain why it diverges.
3. Consider the sequence {bk}โ
k=1 where bk=๎1โ1
k๎k
.
Does this sequence converge? If so, find its limit. If not, then explain why it diverges.
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