Question

Use the identity $(b+x{)}^r=(b+a{)}^r(1+\frac{x-a}{b+a}{)}^r$ and the binomial series

expansion $(1+x{)}^r={\displaystyle \underset{n=0}{\overset{}{}}}(\frac{r}{n})x^{n}to$ find the Taylor series $of$ the function

below with the center $a=4.$

$f(x)=\sqrt[\phantom{2}]{5+x}$