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This is a quiz for math 106a,b - calculus ii, winter 2008. It contains two problems related to sequence and series. The first problem asks to determine whether a sequence converges or diverges and if it converges, what is the limit. The second problem asks to find the exact value of a series and justify the answer.
Typology: Exercises
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QUIZ 8
Show ALL your work CAREFULLY.
(a) Let an =
1 − (^1) n
)n for n = 1, 2 , .... Determine whether the sequence {an} converges or diverges. If it converges, what is the limit?
(b) Find the exact value of the following series (if it converges). Justify your answer.
2 −
Date: March 17, 2008. 1
