Hello,

I am trying to find the Maclaurin series (Taylor series centered about x=0) as well as the radius of converge for

$\displaystyle f(x)=\frac{1}{\sqrt{1+x}}$

Also, assuming the above series represent f(x) on the above interval of convergence, can that series be used to find a Maclaurin series for

$\displaystyle \frac{1}{\sqrt{1-t^2}}$? (if it can, how?)

Am I on the right track with the second part? I am a bit stalled on part a).

Thank you for any help or direction