Find First of Non Terminal

Question

Find the first of RHS of  $A \rightarrow AB/\epsilon$

Answer 1

$A \rightarrow AB / \epsilon$

Here $A\rightarrow AB$ is useless production.

So the only production that matters is $A\rightarrow \epsilon$.

So $First (A) =  \epsilon$

Comments

First of A-> AB  will be..?

while filling the parsing table of LL(1) .. where this production (A->AB) willl be placed..??

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given grammar is left recursive hence, LL(1) parser is not possible