Q39

Let $\delta$ denote the transition function and $\widehat{\delta}$ denote the extended transition function of the $\epsilon$-NFA whose transition table is given below:

$$\begin{array}{|c|c|c|c|}\hline \delta & \text{$\epsilon$} & \text{$a$} & \text{$b$} \\\hline \llap{$\to$}{ q_0} & \text{$\{q_2\}$} & \text{$\{q_1\}$} & \text{$\{q_0\}$} \\\hline \text{$q_1$} & \text{$\{q_2\}$} & \text{$\{q_2\}$} & \text{$\{q_3\}$} \\\hline \text{$q_2$} & \text{$\{q_0\}$} & \text{$\emptyset$} & \text{$\emptyset$} \\\hline \quad\text{$q_3$}\quad & \text{$\emptyset$} & \text{$\emptyset$} & \text{$\{q_2\}$} \\\hline \end{array}$$

Then $\widehat{\delta}(q_2, aba)$ is