# What is the Maclaurin series of 1/(x+1)^0.5?

• Sep 9th 2012, 08:25 AM
TriKri
What is the Maclaurin series of 1/(x+1)^0.5?
Does anyone know what the Maclaurin series of $1/\sqrt{x+1}$ is?
• Sep 9th 2012, 08:58 AM
Prove It
Re: What is the Maclaurin series of 1/(x+1)^0.5?
Quote:

Originally Posted by TriKri
Does anyone know what the Maclaurin series of $1/\sqrt{x+1}$ is?

Use Newton's Generalised Binomial Series with \displaystyle \begin{align*} (1 + x)^{-\frac{1}{2}} \end{align*}.
• Sep 9th 2012, 11:21 AM
TriKri
Re: What is the Maclaurin series of 1/(x+1)^0.5?
Thanks!!
• Sep 9th 2012, 11:45 AM
TriKri
Re: What is the Maclaurin series of 1/(x+1)^0.5?
I just found a way to generalize back and forth error compensation and correction :)