MA126 CALCULUS II SUMMER 2002
July 2002 QUIZ 6 Jellett
SCORE
NAME:..........................................
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1. In each of the following cases, determine whether the sequence converges or
diverges, and give the limit of the sequence, if it exists.
(i) an=2 + n3
1+2n3
(ii) an= cos nover√n
(iii) an=n10
2n
(iv) an=√n2+n−n
2. Decide whether the following series are convergent or divergent. Explain your
reasoning, and find the sum of the series where appropriate.
(i)
n=∞
X
n=0
3n4−n
(ii)
n=∞
X
n=1
1
n(n+ 1)
