Answer
every term equals to $x_0 $
Work Step by Step
Since
$$ x_{n+1}=x_{n}-\frac{f\left(x_{n}\right)}{f^{\prime}\left(x_{n}\right)}$$
Then for $x_0= 0$
$$x_{1}=x_{0}-\frac{f\left(x_{0}\right)}{f^{\prime}\left(x_{0}\right)}=x_{0}-0=x_{0} $$
Hence, every term equals to $x_0 $.