If trace of the matrix ⎡⎢⎣2x22x0x2−113x−4⎤⎥⎦ is given by Tr(A)=limn→0(2n+4n+8n3)1/n, then possible value(s) of x is(are)

If trace of the matrix ⎡⎢⎣2x22x0x2−113x−4⎤⎥⎦ is given

1.	If trace of the matrix ⎡⎢⎣2x22x0x2−113x−4⎤⎥⎦ is given by Tr(A)=limn→0(2n+4n+8n3)1/n, then possible value(s) of x is(are)
Answer» If trace of the matrix $⎡ ⎢ ⎣ \begin{matrix} 2 x & 2 & 2 x 0 & x^{2} & - 1 1 & 3 x & - 4 \end{matrix} ⎤ ⎥ ⎦$ is given by $T r (A) = lim n \to 0 {(\frac{2^{n} + 4^{n} + 8^{n}}{3})}^{1 / n},$ then possible value(s) of $x$ is(are)