Math 408D Calculus II
Fall 2008
Instructor: Geir Helleloid
Homework 2: Due Tuesday, September 9
1. (Section 8.8 #32) Determine whether or not
R
1
0
dx
√
1

x
2
is convergent, and evaluate it if
it is convergent.
2. (Section 8.8 #34) Determine whether or not
R
1
0
1
4
y

1
dy
is convergent, and evaluate it
if it is convergent.
3. (Section 8.8 #40) (*** This is the “writing” question. Please write out your solution
as though you were explaining it to a classmate who is having trouble understand the
material. Write out all steps clearly and correctly with explanatory text indicating why
you chose to take each step. See the examples posted on Blackboard for guidance. ***)
Determine whether or not
R
1
0
ln
x
√
x
dx
is convergent, and evaluate it if it is convergent.
4. (Section 12.1 #6) List the first five terms of the sequence
a
n
=
n
+1
3
n

1
(start at
n
= 1).
5. (Section 12.1 #12) Find a formula for the general term
a
n
of the sequence
{
1
4
,
2
9
,

3
16
,
4
25
, . . .
}
(assuming that the pattern continues).
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 Fall '07
 TextbookAnswers
 Calculus, Geir Helleloid

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