Math 175-030
July 17, 2008
Exam 3 Name
This test consists of 100 points and 5 pages, none of which is intentionally left blank. Take
a few seconds right now to be sure you have all the pages. The point value of each question
is to the left of the question number. Show all your work in the space provided. If you run
out of room for an answer, continue working on the back of the page. Your answers must
be justified by your work.
1.(10) A sequence {an}is defined as follows
an=sin(n)
n
Find the limit of the sequence.
2.(10) The sequence defined recursively by
a1= 3
an=p10 + 3an−1for n≥2
is non-decreasing and bounded above. Find
lim
n→∞
an
