Difference between revisions of "009C Sample Midterm 2, Problem 3"

From Grad Wiki
Jump to navigation Jump to search
(Created page with "<span class="exam"> ::<span class="exam">a) ::<span class="exam">b) {| class="mw-collapsible mw-collapsed" style = "text-align:left;" !Foundations:   |- | |- | :: |...")
 
 
(11 intermediate revisions by the same user not shown)
Line 1: Line 1:
<span class="exam">
+
<span class="exam">Determine convergence or divergence:
  
::<span class="exam">a)  
+
<span class="exam">(a) &nbsp;<math>\sum_{n=1}^\infty (-1)^n \sqrt{\frac{1}{n}}</math>
::<span class="exam">b)
 
  
 +
<span class="exam">(b) &nbsp;<math>\sum_{n=1}^\infty (-2)^n \frac{n!}{n^n} </math>
  
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
+
<hr>
!Foundations: &nbsp;
+
[[009C Sample Midterm 2, Problem 3 Solution|'''<u>Solution</u>''']]
|-
 
|
 
|-
 
|
 
::
 
|-
 
|
 
::
 
|}
 
  
'''Solution:'''
 
  
'''(a)'''
+
[[009C Sample Midterm 2, Problem 3 Detailed Solution|'''<u>Detailed Solution</u>''']]
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
!Step 1: &nbsp;
 
|-
 
|
 
|-
 
|
 
|}
 
  
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
!Step 2: &nbsp;
 
|-
 
|
 
|-
 
|
 
|}
 
  
'''(b)'''
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
!Step 1: &nbsp;
 
|-
 
|
 
|-
 
|
 
|-
 
|
 
|-
 
|
 
|}
 
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
!Step 2: &nbsp;
 
|-
 
|
 
|-
 
|
 
|-
 
|
 
|-
 
|
 
|}
 
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
!Final Answer: &nbsp;
 
|-
 
|'''(a)'''
 
|-
 
|'''(b)'''
 
|}
 
 
[[009C_Sample_Midterm_2|'''<u>Return to Sample Exam</u>''']]
 
[[009C_Sample_Midterm_2|'''<u>Return to Sample Exam</u>''']]

Latest revision as of 12:35, 12 November 2017

Determine convergence or divergence:

(a)  

(b)  


Solution


Detailed Solution


Return to Sample Exam