Math 251 Sample Test 1 .pdf

File information


Original filename: Math 251 Sample Test 1.pdf

This PDF 1.4 document has been generated by TeX output 2014.02.28:0952 / MiKTeX-dvipdfmx (20120420), and has been sent on pdf-archive.com on 05/03/2014 at 00:21, from IP address 24.53.x.x. The current document download page has been viewed 647 times.
File size: 21 KB (1 page).
Privacy: public file


Download original PDF file


Math 251 Sample Test 1.pdf (PDF, 21 KB)


Share on social networks



Link to this file download page



Document preview


Math 251 Sample Test One
Determine if each of the following series is convergent or divergent.




2n
n
2.
1.
n3 + 1
5n − 1
n=1
n=1
(Use Direct Comparison Test or Limit Comparison Test)

3.




(−1)n n
n=1

n2 + 1



(−1)n
4.
.
n!
n=1

(Use the Alternating Series Test)

5. Determine whether the series



n=1

n2
is convergent or divergent.
n2 + 1



(−1)n

6. Determine whether the series
conveges conditionally or absolutely, or din+4
n=1
verges.

7. Find the radius of convergence and interval of convergence of series of the following
series:




2n (x − 2)n
(−1)n xn
(1)
(2)
.
n!
n2 5n
n=1
n=1
8. Find the Taylor Polynomials P1 (x), P2 (x), P3 (x) for function f (x) = sin x centered at
π
c= .
2
9. Find the 3rd order Maclaurin Polynomial of function f (x) = e5x .

10. Find the value of the summation by showing that the series telescopes.
)
∞ (



1
1
1

Hint: Use Partial Fractions
A)
B)
n
n
+
2
n(n
+
1)
n=1
n=1
1


Document preview Math 251 Sample Test 1.pdf - page 1/1


Related documents


math 251 sample test 1
math words
ch12
eulerprimerecips
handout 10 practice for series tests
eksamen

Link to this page


Permanent link

Use the permanent link to the download page to share your document on Facebook, Twitter, LinkedIn, or directly with a contact by e-Mail, Messenger, Whatsapp, Line..

Short link

Use the short link to share your document on Twitter or by text message (SMS)

HTML Code

Copy the following HTML code to share your document on a Website or Blog

QR Code

QR Code link to PDF file Math 251 Sample Test 1.pdf