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 
Search tags for this page 
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Binomial series question  123qwerty  Algebra  2  September 23rd, 2015 06:38 AM 
Series with inverse binomial factor!  ZardoZ  Real Analysis  10  September 21st, 2011 09:00 AM 
binomial series precision  povilasb  PreCalculus  8  December 25th, 2010 10:49 AM 
Use a Binomial series only to calculate the Maclaurin series  maliniarz  Probability and Statistics  1  December 8th, 2010 06:14 PM 
Deriving the series of e using binomial theorem  laryngex  Calculus  4  June 6th, 2010 11:25 PM 