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The eighth quiz for the calculus ii course (math 106b,c) offered in the fall 2011 semester. The quiz covers the concepts of limits and infinite series. Question (a) asks students to find the limit of a sequence or explain why it does not exist. Question (b) requires students to determine if an infinite series converges or diverges and, if it converges, to evaluate it.
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QUIZ 8
Show ALL your work CAREFULLY.
(a) Find the limit of the following sequence or explain why it does not exist.
an = e
lnn n
(b) Determine whether the following infinite series converges or diverges. If it converges, evaluate the infinite series. 1 − 2 3
Date: November 14, 2011. 1
