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 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: 20,622 Thanks: 2076 Could you write the series for (1 + x)^(1/2)? If so, do that, then replace "x" with "2x".

 Tags binomial, polynomial, series, taylor

### binomial function f(x)=sqrt(1 2x) centered at a=0 determine the radius of convergence

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