Question: Show that the function f ( x ) = 1 - sqrt ( 1 - x ) has the following Taylor expansion around x

Show that the function f(x)=1-\sqrt(1-x) has the following Taylor
expansion around x=0 :
f(x)=\sum_(n=1)^(\infty )(((2n)/(n))x^(n))/(4^(n)(2n-1))
Show that the function f ( x ) = 1 - \ sqrt ( 1 -

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