April 17th, 2016, 08:11 PM  #1 
Newbie Joined: Feb 2016 From: usa Posts: 4 Thanks: 0  Binomial Series
Consider the binomial function f(x)=sqrt(1+2x). a) Write f(x) as a binomial series centered at a=0 and determine the radius of convergence. b) Find Taylor polynomial T3(x) of the series. I wrote f(x) as (1+2x)^(1/2) and started to write out the series with k=1/2, but I'm not sure where to go from there. Thank you for your help. 
April 17th, 2016, 08:27 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,921 Thanks: 2203 
Could you write the series for (1 + x)^(1/2)? If so, do that, then replace "x" with "2x".


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binomial, polynomial, series, taylor 
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