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

question 70

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

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