Question: Let M = ( Q , Sigma , q 0 , delta , QF ) such that QF = { qf } .

Let M =(Q,\Sigma , q0,\delta , QF ) such that QF ={qf }. Further, for
all \sigma in \Sigma ,\delta (q0,\sigma )=\delta (qf ,\sigma ). Suppose a string x =\epsi is in L = L(M ). For any
k >=1, define x(k)= x.x.... x Prove that for any k >=1, x(k) in L.

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