Math 113 (Calculus Ii) Test 4 Form A With Answer Key - Brigham Young University Page 2
ADVERTISEMENT
1
2
3
4
5Solution: d)
5. Which one of the following series is divergent?
n
n
1
n!
(n + 1)
a)
b)
c)
n
n
n!
n
(2n)
n
6
( 1)
n
n!
d)
e)
f)
n
ln n
(n + 1)!
10
n
3
2
g)
h) they are all convergent
n
5
n
n
( 1)
2
6. What is the sum of the series
?
n!
n=0
1
2
a)
b) e
c) cos 2
2
e
1
d) ln 3
e) tan
2
f)
1
1
g)
h) None of the above.
3
n
7. Suppose
c
x
is convergent at x = 4 and divergent at x =
4. Which of the following
n
n=0
statements are true.
I. The radius of convergence is 4.
II. The interval of convergence contains the set ( 4, 4] but could be larger.
III. The interval of convergence cannot be determined.
IV. The interval of convergence is [0, 4].
a) Only I.
b) Only II.
c) Only III.
d) Only IV.
e) I. and II.
f) II. and III.
g) I. and IV.
Solution: a)
1
2
1
x
cos x
2
8. Evaluate the limit: lim
4
x
x
0
1
1
1
a)
b)
c)
2
2
6
1
1
1
d)
e)
f)
6
24
24
g) 0
h) The limit does not exist
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education