The function $f ( x ) = \left\{ \begin{array} { l l } \frac { \pi } { 4 } + \tan ^ { - 1 } x , & | x | \leq 1 \\ \frac { 1 } { 2 } ( | x | - 1 ) , & | x | > 1 \end{array} \right.$ is:\\
(1) continuous on $R - \{ 1 \}$ and differentiable on $R - \{ - 1,1 \}$.\\
(2) both continuous and differentiable on $R - \{ 1 \}$\\
(3) continuous on $R - \{ - 1 \}$ and differentiable on $R - \{ - 1,1 \}$\\
(4) both continuous and differentiable on $R - \{ - 1 \}$