Final answer:
The question asks about converting an NFA to its equivalent regular expression using the GNFA method by eliminating states in sequence. The process would involve updating transitions with regular expressions that bypass the eliminated states. However, the actual transitions of the NFA are missing, making it impossible to provide the GNFA at each step.
Step-by-step explanation:
The question pertains to the concept of converting a Non-Deterministic Finite Automaton (NFA) to its equivalent regular expression using the Generalized NFA (GNFA) method. This process entails sequentially eliminating states from the automaton while updating the transitions with corresponding regular expressions until only the start and accept states remain. The regular expressions on the transitions between these two states at the end represent L(M), the language of the automaton.
To proceed with the GNFA technique, one would begin by identifying the transitions and states of the NFA. Upon eliminating state 1, you would create new transitions with updated regular expressions that bypass state 1. The same would be done for state 2 and state 3 in sequence. Unfortunately, without the actual transitions of the NFA, this question cannot be completed as asked. In each step, the GNFA would be modified to reflect the eliminated state and new transitions.