Math 141 Final Exam (FALL 2008)
This test is a closed-book test; you are NOT allowed to use a graphing calculator but you are
allowed a formula sheet A4 size handwritten on one side. Please write your name below. Be
sure to look at all problems before dec
Math 141 Final Exam (SPRING 2008)
This test is a closed-book test; you are NOT allowed to use a graphing calculator but you are
allowed a formula sheet A4 size handwritten on one side. Please write your name below. Be
sure to look at all problems before d
This test is a closed-book test; you are not allowed to use any calculators.
Please write your name below. Be sure to look at all problems before deciding
which to do rst. Note that some problems are easier than others. You may
use the backs of the pages
This test is a closed-book test; you are not allowed to use any calculators.
Please write your name below. Be sure to look at all problems before deciding
which to do rst. Note that some problems are easier than others. You may
use the backs of the pages
Math 141-001 Exam II
1. Test the convergence/divergence of the following innite series.
(a)
en
(b)
n=1
(c)
4n
n
n=1 3 + 5
n
4
n=1 n + 1
(d)
2. (a) Use partial fraction to evaluate
1
n=1 3n + 5
1
dx.
x2 x 6
x2
(x2 + 4)2 (x2 + 2x + 1)
(b) Write down the par
Math 141H (Spring 2008) Exam II
1. Test the convergence/divergence of the following innite series.
nen
(a)
n=1
(b)
n
4
n=1 n + 1
5n
(c)
n
n=1 4 + 3
2. Use partial fraction to evaluate
1
(a)
dx.
2 5x + 6
x
x2
dx
x4 2x2 8
(b)
3. Determine the convergence of
This test is a closed-book test; you are not allowed to use any calculators.
Please write your name below. Be sure to look at all problems before deciding
which to do rst. Note that some problems are easier than others. You may
use the backs of the pages
Math 141-002 Exam III
1. Determine the convergence/divergence of the following series:
(a)
(b)
(c)
(3)n
n=0
n!
n2n
n=1
nn
n=1 n!
2. Determine whether the following series converges conditionally, converges absolutely, or diverges.
(a)
(1)n+1
n=1
(b)
(1
Math 141-001 Exam III
1. Use Ratio test to determine the convergence of
(a)
(b)
nn
n=1 (n + 1)!
7n
n=0
n!
2. Determine whether the following series converges conditionally or absolutely, or
diverges.
(a)
(1)n+3 n2
n=1
(b)
(n + 3)2
(1)n
n=1
(c)
n
(1)n
n
Spring 2016 Practice Midterm 2
1. The exact length of the curve given by y =
(a)
p
x
p
x2 + arcsin( x) is
2
(b)
(c) 2
(d) 1
(e) ln 2
1
X 1
1
2. Let an =
and S be the series S =
. Which of the following statements
n ln n
n
ln
n
n=2
is true?
(a) The series