Difference between revisions of "009C Sample Final 2, Problem 7"

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::<span class="exam">a) Consider the function <math>f(x)=\bigg(1-\frac{1}{2}x\bigg)^{-2}.</math> Find the first three terms of its Binomial Series.  
+
<span class="exam">(a) Consider the function &nbsp;<math>f(x)=\bigg(1-\frac{1}{2}x\bigg)^{-2}.</math>&nbsp; Find the first three terms of its Binomial Series.  
  
::<span class="exam">b) Find its radius of convergence.
+
<span class="exam">(b) Find its radius of convergence.
  
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"

Revision as of 17:43, 4 March 2017

(a) Consider the function    Find the first three terms of its Binomial Series.

(b) Find its radius of convergence.

Foundations:  

Solution:

(a)

Step 1:  
Step 2:  

(b)

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

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