My Math Forum Infinite series

 Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion

 May 28th, 2019, 11:25 AM #1 Math Team     Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 901 Thanks: 61 Math Focus: सामान्य गणित Infinite series I cannot remember the infinite series for $\displaystyle \sqrt {1 - a}$ for $\displaystyle 0 < a <<1$
 May 28th, 2019, 12:00 PM #2 Global Moderator   Joined: Dec 2006 Posts: 20,819 Thanks: 2158 Can you remember this theorem? Thanks from topsquark and idontknow
 May 28th, 2019, 06:27 PM #3 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,671 Thanks: 2651 Math Focus: Mainly analysis and algebra Or even use Google. Thanks from idontknow
 May 29th, 2019, 01:05 AM #4 Senior Member   Joined: Dec 2015 From: somewhere Posts: 547 Thanks: 83 I think that you must apply complex-analysis theorems. Or use $\displaystyle sqrt(x) =x/sqrt(x)$. I'm not sure, but try exponential complex variable. Expand the function with infinite product and then add the square root to each term. If not, then someone else I hope will assist. Last edited by skipjack; May 29th, 2019 at 05:45 AM.
May 29th, 2019, 01:27 AM   #5
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Quote:
 Originally Posted by idontknow I think that you must apply complex-analysis theorems. Or use $\displaystyle sqrt(x) =x/sqrt(x)$. I'm not sure, but try exponential complex variable. Expand the function with infinite product and then add the square root to each term. If not, then someone else I hope will assist.
Look at the previous replies lol...

Last edited by skipjack; May 29th, 2019 at 05:45 AM.

 May 29th, 2019, 06:12 PM #6 Senior Member   Joined: Sep 2016 From: USA Posts: 635 Thanks: 401 Math Focus: Dynamical systems, analytic function theory, numerics Which infinite series? There are infinitely many infinite series for this function (and of course any other smooth function). Do you mean Taylor series? Thanks from topsquark

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