For the following question, enter the correct numerical value up to TWO decimal places. (If the numerical value has more than two decimal places, round-off the value to TWO decimal places.) If \[ A=\begin{pmatrix}2&1\\[2pt]1&1\end{pmatrix},\; B=\begin{pmatrix}3&4\\[2pt]1&3\end{pmatrix},\; C=\begin{pmatrix}3&-4\\[2pt]-2&3\end{pmatrix}, \] then the value of \[ \operatorname{tr}(A)+\operatorname{tr}\!\left(\frac{ABC}{2}\right) +\operatorname{tr}\!\left(\frac{A(BC)^2}{4}\right) +\operatorname{tr}\!\left(\frac{A(BC)^3}{8}\right)+\cdots = \_\_\_\_ \]