Difference between revisions of "009C Sample Final 2, Problem 4"

From Grad Wiki
Jump to navigation Jump to search
Line 1: Line 1:
::<span class="exam">a) Find the radius of convergence for the power series
+
<span class="exam">(a) Find the radius of convergence for the power series
  
 
::::::<math>\sum_{n=1}^{+\infty} (-1)^n \frac{x^n}{n}.</math>
 
::::::<math>\sum_{n=1}^{+\infty} (-1)^n \frac{x^n}{n}.</math>
  
::<span class="exam">b) Find the interval of convergence of the above series.
+
<span class="exam">(b) Find the interval of convergence of the above series.
  
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"

Revision as of 17:40, 4 March 2017

(a) Find the radius of convergence for the power series

(b) Find the interval of convergence of the above series.

Foundations:  

Solution:

(a)

Step 1:  
Step 2:  

(b)

Step 1:  
Step 2:  
Final Answer:  
   (a)
   (b)

Return to Sample Exam