What Is the Interval of Convergence of the Taylor Series $f(x)=9(1+x)^{1 / 2}$

Multiple Choice

What is the interval of convergence of the Taylor series for the function $f(x) =9(1+x) ^{1 / 2}$ about zero? (Exclude any possible endpoints.)

A) $-1$$<$$x$$<1$
B) $-9<$$x<$$9$
C) $-\frac{1}{9}$$<$$x<$$\frac{1}{9}$
D) none of the above